1cc. For the junction shown in the figure, which equation correctly
expresses the sum of the currents?a) i1 + i2 + i3 + i4 = 0b) i1 – i2 +
i3 + i4 = 0c) –i1 + i2 + i3 – i4 = 0d) i1 – i2 – i3 – i4 = 0e) i1 + i2 –
i3 – i4 = 0 Get solution
1mcq. A resistor and a capacitor are connected in series. If a second identical capacitor is connected in series in the same circuit, the time constant for the circuit willa) decrease.b) increase.c) stay the same. Get solution
2cc. In the circuit in the figure, there are three identical resistors. The switch, S, is initially open. When the switch is closed, what happens to the current flowing in R1?...a) The current in R1 decreases.b) The current in R1 increases.c) The current in R1 stays the same. Get solution
2mcq. A resistor and a capacitor are connected in series. If a second identical resistor is connected in series in the same circuit, the time constant for the circuit willa) decrease.b) increase.c) stay the same. Get solution
3cc. In the multiloop circuit shown in the figure, V1 = 6.00 V, V2 = 12.0 V, R1 = 10.0 , and R2 = 12.0 V. What is the magnitude of current i2?a) 0.500 Ab) 0.750 Ac) 1.00 Ad) 1.25 Ae) 1.50 A Get solution
3mcq. A circuit consists of a source of emf, a resistor, and a capacitor, all connected in series. The capacitor is fully charged. How much current is flowing through it?a) i = V/Rb) zeroc) neither (a) nor (b) Get solution
4cc. Which of the circuits shown in the figure will not function properly?1...2...3...a) 1b) 2c) 3d) 1 and 2e) 2 and 3 Get solution
4mcq. Which of the following will reduce the time constant in an RC circuit?a) increasing the dielectric constant of the capacitorb) adding an additional 20 m of wire between the capacitor and the resistorc) increasing the voltage of the batteryd) adding an additional resistor in parallel with the first resistore) none of the above Get solution
5cc. To discharge a capacitor in an RC circuit very quickly, what should the values of the resistance and the capacitance be?a) Both should be as large as possible.b) Resistance should be as large as possible, and capacitance as small as possible.c) Resistance should be as small as possible, and capacitance as large as possible.d) Both should be as small as possible. Get solution
5mcq. Kirchhoff’s Junction Rule states thata) the algebraic sum of the currents at any junction in a circuit must be zero.b) the algebraic sum of the potential changes around any closed loop in acircuit must be zero.c) the current in a circuit with a resistor and a capacitor varies exponentially with time.d) the current at a junction is given by the product of the resistance and the capacitance.e) the time for the current development at a junction is given by the product of the resistance and the capacitance. Get solution
6cc. In the circuit shown in the figure, the capacitor, C, is initially uncharged. Immediately after the switch is closed,...a) the current flowing through R1 is zero.b) the current flowing through R1 is larger than that through R2.c) the current flowing through R2 is larger than that through R1.d) the current flowing through R1 is the same as that through R2 Get solution
6mcq. How long will it take, as a multiple of the time constant, ..., for the capacitor in an RC circuit to be 98% charged?a) 9...b) 0.9...c) 90...d) 4...e) 0.98... Get solution
7cc. In the circuit shown in the figure, the switch is closed. After a long time,...a) the current through R1 is zero.b) the current flowing through R1 is larger than that through R2.c) the current flowing through R2 is larger than that through R1.d) the current flowing through R1 is the same as that through R2. Get solution
7mcq. A capacitor C is initially uncharged. At time t = 0, the capacitor is attached through a resistor R to a battery. The energy stored in the capacitor increases, eventually reaching a value U as t →∞. After a time equal to the time constant ... = RC, the energy stored in the capacitor is given bya) U/e.b) U/e2.c) U(1 – 1/e)2.d) U(1 – 1/e). Get solution
8mcq. Which of the following has the same unit as the electromotive force (emf)?a) currentb) electric potentialc) electric fieldd) electric powere) none of the above Get solution
9mcq. The capacitor in each circuit in the figure is first charged by a 10-V battery with no internal resistance. Then, the switch is flipped from position A to position B, and the capacitor is discharged through various resistors. For which circuit is the total energy dissipated by the resistor the largest?(a) ...(b) ...(c) ...(d) ...(e) ...(f) ... Get solution
10mcq. Two resistors, R1 = 3.00 Ω and R2 = 5.00 Ω, are connected in series with a battery and an ammeter, as shown in the figure. The battery supplies Vemf = 8.00 V, and the ammeter has the resistance RA = 1.00 Ω. What is the current measured by the ammeter?a) 0.500 Ab) 0.750 Ac) 0.889 Ad) 1.00 Ae) 1.50 A... Get solution
11mcq. An uncharged capacitor (C = 14.9 µF), a resistor (R = 24.3 kΩ), and a battery (V = 25.7 V) are connected in series, as shown in the figure. What is the charge on the capacitor at t = 0.3621 s after the switch is closed?a) 5.48·10–5 Cb) 7.94·10–5 Cc) 1.15·10–5 Cd) 1.66·10–4 Ce) 2.42·10–4 C... Get solution
12mcq. Kirchhoff’s Loop Rule states thata) the algebraic sum of the currents around a complete circuit loop must be zero.b) the resistances around a complete circuit loop must sum to zero.c) the sources of emf around a complete circuit loop must sum to zero.d) the sum of the potential differences around a complete circuit loop must be greater than zero.e) the potential differences around a complete circuit loop must sum to zero. Get solution
13mcq. Which of the following statements are true?1. An ideal ammeter should have infinite resistance.2. An ideal ammeter should have zero resistance.3. An ideal voltmeter should have infinite resistance.4. An ideal voltmeter should have zero resistance.a) 1 and 3b) 2 and 4c) 2 and 3d) 1 and 4 Get solution
14cq. You want to measure simultaneously the potential difference across and the current through a resistor, R. As the circuit diagrams show, there are two ways to connect the two instruments—ammeter and voltmeter—in the circuit. Comment on the result of the measurement using each configuration.... Get solution
15cq. If the capacitor in an RC circuit is replaced with two identical capacitors connected in series, what happens to the time constant for the circuit? Get solution
16cq. You want to accurately measure the resistance, Rdevice, of a new device. The figure shows two ways to accomplish this task. On the left, an ohmmeter produces a current through the device and measures that current, i, and the potential difference, ∆V, across the device. This potential difference includes the potential drops across the wires leading to and from the device and across the contacts that connect the wires to the device. These extra resistances cannot always be neglected, especially if the device has low resistance. This technique is called two-probe measurement since two probe wires are connected to the device. The resulting current, i, is measured with an ammeter. The total resistance is then determined by dividing ∆V by i. For this configuration, what is the resistance that the ohmmeter measures? In the alternative configuration, shown on the right, a similar current source is used to produce and measure the current through the device, but the potential difference, ∆V, is measured directly across the device with a nearly ideal voltmeter with extremely large internal resistance. This technique is called a four-probe measurement since four probe wires are connected to the device. What resistance is being measured...in this four-probe configuration? Is it different from that being assessed by the two-probe measurement? Why or why not? (Hint: Four-probe measurements are used extensively by scientists and engineers and are especially useful for accurate measurements of the resistance of materials or devices with low resistance.) Get solution
17cq. Explain why the time constant for an RC circuit increases with R and with C. (The answer “That’s what the formula says” is not sufficient.) Get solution
18cq. A battery, a resistor, and a capacitor are connected in series in an RC circuit. What happens to the current through a resistor after a long time? Explain using Kirchhoff’s rules. Get solution
19cq. How can you light a 1.0-W, 1.5-V bulb with your 12.0-V car battery? Get solution
20cq. A multiloop circuit contains a number of resistors and batteries. If the emf values of all the batteries are doubled, what happens to the currents in all the components of the circuit? Get solution
21cq. A multiloop circuit of resistors, capacitors, and batteries is switched on at t = 0, at which time all the capacitors are uncharged. The initial distribution of currents and potential differences in the circuit can be analyzed by treating the capacitors as if they were connecting wires or closed switches. The final distribution of currents and potential differences, which occurs after a long time has passed, can be analyzed by treating the capacitors as open segments or open switches. Explain why these tricks work. Get solution
22cq. Voltmeters are always connected in parallel with a circuit component, and ammeters are always connected in series. Explain why. Get solution
23cq. You wish to measure both the current through and the potential difference across some component of a circuit. It is not possible to do this simultaneously and accurately with ordinary voltmeters and ammeters. Explain why not. Get solution
25cq. Two capacitors in series are charged through a resistor. Identical capacitors are instead connected in parallel and charged through the same resistor. How do the times required to fully charge the two sets of capacitors compare? Get solution
26cq. The figure shows a circuit consisting of a battery connected to a resistor and a capacitor, which is fully discharged initially, in series with a switch.a) What is the current in the circuit at any time t?b) Calculate the total energy provided by the battery from t = 0 to t = ∞.c) Calculate the total energy dissipated from the resistor over the same time period.d) Is energy conserved in this circuit?... Get solution
27. Two resistors, R1 and R2, are connected in series across a potential difference, ∆V0. Express the potential drop across each resistor individually, in terms of these quantities. What is the significance of this arrangement? Get solution
28. A battery has Vemf = 12.0 V and internal resistance r = 1.00 Ω. What resistance, R, can be put across the battery to extract 10.0 W of power from it? Get solution
29. Three resistors are connected across a battery as shown in the figure. What values of R and Vemf will produce the indicated currents?... Get solution
30. Find the equivalent resistance for the circuit in the figure.... Get solution
32. In the circuit shown in the figure, V1 = 1.50 V, V2 = 2.50 V, R1 = 4.00 Ω, and R2 = 5.00 Ω. What is the magnitude of the current, i1, flowing through resistor R1?... Get solution
33. The circuit shown in the figure consists of two batteries supplying voltages VA and VB and three light bulbs with resistances R1, R2, and R3. Calculate the magnitudes of the currents i1, i2, and i3 flowing through the bulbs. Indicate the correct directions of current flow on the diagram. Calculate the power, PA and PB, supplied by battery A and by battery B.... Get solution
34. In the circuit shown in the figure, R1 = 5.00 Ω, R2 = 10.0 Ω, R3 = 15.0 Ω, Vemf,1 = 10.0 V, and Vemf,2 = 15.0 V. Using Kirchhoff’s Loop and Junction Rules, determine the currents i1, i2, and i3 flowing through R1, R2, and R3, respectively, in the direction indicated in the figure.... Get solution
35. For the circuit shown in the figure, find the magnitude and the direction of the current through each resistor and the power supplied by each battery, using the following values: R1 = 4.00 Ω, R2 = 6.00 Ω, R3 = 8.00 Ω, R4 = 6.00 Ω, R5 = 5.00 Ω, R6 = 10.0 Ω, R7 = 3.00 Ω, Vemf,1 = 6.00 V, and Vemf,2 = 12.0 V.... Get solution
36. A Wheatstone bridge is constructed using a 1.00-m-long Nichrome wire (the purple line in the figure) with a conducting contact that can slide along the wire. A resistor, R1 = 100. Ω, is placed on one side of the bridge, and another resistor, R, of unknown resistance, is placed on the other side. The contact is moved along the Nichrome wire, and it is found that the ammeter reading is zero for L = 25.0 cm. Knowing that the wire has a uniform cross section throughout its length, determine the unknown resistance.... Get solution
37. A “resistive ladder” is constructed with identical resistors, R, making up its legs and rungs, as shown in the figure. The ladder has “infinite” height; that is, it extends very far in one direction. Find the equivalent resistance of the ladder, measured between its “feet” (points A and B), in terms of R.... Get solution
38. Consider an “infinite,” that is, very large, two-dimensional square grid of identical resistors, R, as shown in the figure. Find the equivalent resistance of the grid, as measured across any individual resistor. (Hint: Symmetry and superposition are very helpful in solving this problem.)... Get solution
39. To extend the useful range of an ammeter, a shunt resistor, Rshunt, is placed in parallel with the ammeter as shown in the figure. If the internal resistance of the ammeter is Ri,A, determine the resistance that the shunt resistor has to have to extend the useful range of the ammeter by a factor N. Then, calculate the resistance the shunt resistor has to have to allow an ammeter with an internal resistance of 1.00 Ω and a maximum range of 1.00 A to measure currents up to 100. A. What fraction of the total 100.-A current flows through the ammeter, and what fraction flows through the shunt resistor?... Get solution
40. To extend the useful range of a voltmeter, an additional resistor, Rseries, is placed in series with the voltmeter as shown in the figure. If the internal resistance of the voltmeter is Ri,V, determine the resistance that the added series resistor has to have to extend the useful range of the voltmeter by a factor N. Then, calculate the resistance the series resistor has to have to allow a voltmeter with an internal resistance of 1.00 M Ω (106 Ω) and a maximum range of 1.00 V to measure potential differences up to 100. V. What fraction of the total 100.-V potential drop occurs across the voltmeter, and what fraction of that drop occurs across the added series resistor?... Get solution
41. As shown in the figure, a 6.0000-V battery is used to produce a current through two identical resistors, R, each having a resistance of 100.00 k Ω. A digital multimeter (DMM) is used to measure the potential difference across the first resistor. DMMs typically have an internal resistance of 10.00 M Ω. Determine the potential differences Vab (the potential difference between points a and b, which is the difference the DMM measures) and Vbc (the potential difference between points b and c, which is the difference across the second resistor). Nominally, Vab = Vbc, but this may not be the case here. How can this measurement error be reduced?... Get solution
42. You want to make an ohmmeter to measure the resistance of unknown resistors. You have a battery with voltage Vemf = 9.00 V, a variable resistor, R, and an ammeter that measures current on a linear scale from 0 to 10.0 mA.a) What resistance should the variable resistor have so that the ammeter gives its full-scale (maximum) reading when the ohmmeter is shorted?b) Using the resistance from part (a), what is the unknown resistance if the ammeter reads 1/4 of its full scale? Get solution
43. A circuit consists of two 1.00-k Ω resistors in series with an ideal 12.0-V battery.a) Calculate the current flowing through each resistor.b) A student trying to measure the current flowing through one of the resistors inadvertently connects an ammeter in parallel with that resistor rather than in series with it. How much current will flow through the ammeter, assuming that it has an internal resistance of 1.00 Ω? Get solution
44. A circuit consists of two 100.-k Ω resistors in series with an ideal 12.0-V battery.a) Calculate the potential drop across one of the resistors.b) A voltmeter with internal resistance 10.0 M Ω is connected in parallel with one of the two resistors in order to measure the potential drop across the resistor. By what percentage will the voltmeter reading deviate from the value you determined in part (a)? (Hint: The difference is rather small so it is helpful to solve algebraically first to avoid a rounding error.) Get solution
45. Initially, switches S1 and S2 in the circuit shown in the figure are open and the capacitor has a charge of 100. mC. About how long will it take after switch S1 is closed for the charge on the capacitor to drop to 5.00 mC?... Get solution
46. What is the time constant for the discharging of the capacitors in the circuit shown in the figure? If the 2.00-µF capacitor initially has a potential difference of 10.0 V across its plates, how much charge is left on it after the switch has been closed for a time equal to half of the time constant?... Get solution
47. The circuit shown in the figure has a switch, S, two resistors, R1 = 1.00 Ω and R2 = 2.00 Ω, a 12.0-V battery, and a capacitor with C = 20.0 µF. After the switch is closed, what will the maximum charge on the capacitor be? How long after the switch has been closed will the capacitor have 50.0% of this maximum charge?... Get solution
48. In the movie Back to the Future, time travel is made possible by a flux capacitor, which generates 1.21 GW of power. Assuming that a 1.00-F capacitor is charged to its maximum capacity with a 12.0-V car battery and is discharged through a resistor, what resistance is necessary to produce a peak power output of 1.21 GW in the resistor? How long would it take for a 12.0-V car battery to charge the capacitor to 90.0% of its maximum capacity through this resistor? Get solution
49. During a physics demonstration, a fully charged 90.0-µF capacitor is discharged through a 60.0- Ω resistor. How long will it take for the capacitor to lose 80.0% of its initial energy? Get solution
50. Two parallel plate capacitors, C1 and C2, are connected in series with a 60.0-V battery and a 300.-k Ω resistor, as shown in the figure. Both capacitors have plates with an area of 2.00 cm2 and a separation of 0.100 mm. Capacitor C1 has air between its plates, and capacitor C2 has the gap filled with a certain porcelain (dielectric constant of 7.00 and dielectric strength of 5.70 kV/mm). The switch is closed, and a long time passes.a) What is the charge on capacitor C1?b) What is the charge on capacitor C2?c) What is the total energy stored in the two capacitors?d) What is the electric field inside capacitor C2?... Get solution
51. A parallel plate capacitor with C = 0.0500 µF has a separation between its plates of d = 50.0 µm. The dielectric that fills the space between the plates has dielectric constant κ = 2.50 and resistivity ρ = 4.00·1012 Ω m. What is the time constant for this capacitor? (Hint: First calculate the area of the plates for the given C and K, and then determine the resistance of the dielectric between the plates.) Get solution
52. A 12.0-V battery is attached to a 2.00-mF capacitor and a 100.- Ω resistor. Once the capacitor is fully charged, what is the energy stored in it? What is the energy dissipated as heat by the resistor as the capacitor is charging? Get solution
53. A capacitor bank is designed to discharge 5.00 J of energy through a 10.0-k Ω resistor array in under 2.00 ms. To what potential difference must the bank be charged, and what must the capacitance of the bank be? Get solution
54. The circuit in the figure has a capacitor connected to a battery, two switches, and three resistors. Initially, the capacitor is uncharged and both of the switches are open.a) Switch S1 is closed. What is the current flowing out of the battery immediately after switch S1 is closed?b) After about 10.0 min, switch S2 is closed. What is the current flowing out of the battery immediately after switch S2 is closed?c) What is the current flowing out of the battery about 10.0 min after switch S2 has been closed?d) After another 10.0 min, switch S1 is opened. How long will it take until the current in the 200.- Ω resistor is below 1.00 mA?... Get solution
55. In the circuit shown in the figure, R1 = 10.0 Ω, R2 = 4.00 Ω, and R3 = 10.0 Ω, and the capacitor has capacitance C = 2.00 µF.a) Determine the potential difference, ∆VC, across the capacitor after switch S has been closed for a long time.b) Determine the energy stored in the capacitor when switch S has been closed for a long time.c) After switch S is opened, how much energy is dissipated through R3?... Get solution
56. A cube of gold that is 2.50 mm on a side is connected across the terminals of a 15.0-µF capacitor that initially has a potential difference of 100.0 V between its plates.a) What time is required to fully discharge the capacitor?b) When the capacitor is fully discharged, what is the temperature of the gold cube?... Get solution
57. A “capacitive ladder” is constructed with identical capacitors, C, making up its legs and rungs, as shown in the figure. The ladder has “infinite” height; that is, it extends very far in one direction. Calculate the equivalent capacitance of the ladder, measured between its “feet” (points A and B), in terms of C.... Get solution
58. In the circuit in the figure, the capacitors are completely uncharged. The switch is then closed for a long time.a) Calculate the current through the 4.00- Ω resistor.b) Find the potential difference across the 4.00- Ω, 6.00- Ω, and 8.00- Ω resistors.c) Find the potential difference across the 1.00-µF capacitor.... Get solution
59. The ammeter your physics instructor uses for in-class demonstrations has internal resistance Ri = 75.0 Ω and measures a maximum current of 1.50 mA. The same ammeter can be used to measure currents of much greater magnitudes by wiring a shunt resistor of relatively small resistance, Rshunt, in parallel with the ammeter. (a) Sketch the circuit diagram, and explain why the shunt resistor connected in parallel with the ammeter allows it to measure larger currents. (b) Calculate the resistance the shunt resistor has to have to allow the ammeter to measure a maximum current of 15.0 A. Get solution
60. Many electronics devices can be dangerous even after they are shut off. Consider an RC circuit with a 150.-µF capacitor and a 1.00-M Ω resistor connected to a 200.-V power source for a long time and then disconnected and shorted, as shown in the figure. How long will it be until the potential difference across the capacitor drops to below 50.0 V?... Get solution
61. Design a circuit like that shown in the figure to operate a strobe light. The capacitor discharges power through the light bulb filament (resistance of 2.50 k Ω) in 0.200 ms and charges through a resistor R, with a repeat cycle of 1.00 kHz. What capacitor and resistor should be used?... Get solution
62. An ammeter with an internal resistance of 53.0 Ω measures a current of 5.25 mA in a circuit containing a battery and a total resistance of 1130 Ω. The insertion of the ammeter alters the resistance of the circuit, and thus the measurement does not give the actual value of the current in the circuit without the ammeter. Determine the actual value of the current. Get solution
63. In the circuit shown in the figure, a 10.0-µF capacitor is charged by a 9.00-V battery with the two-way switch kept in position X for a long time. Then the switch is suddenly flicked to position Y. What current flows through the 40.0- Ω resistora) immediately after the switch moves to position Y?b) 1.00 ms after the switch moves to position Y?... Get solution
64. How long will it take for the current in a circuit to drop from its initial value to 1.50 mA if the circuit contains two 3.80-µF capacitors that are initially uncharged, two 2.20-k Ω resistors, and a 12.0-V battery all connected in series? Get solution
65. An RC circuit has a time constant of 3.10 s. At t = 0, the process of charging the capacitor begins. At what time will the energy stored in the capacitor reach half of its maximum value? Get solution
66. For the circuit shown in the figure, determine the charge on each capacitor when (a) switch S has been closed for a long time and (b) switch S has been open for a long time.... Get solution
67. Three resistors, R1 = 10.0 Ω, R2 = 20.0 Ω, and R3 = 30.0 Ω, are connected in a multiloop circuit, as shown in the figure. Determine the amount of power dissipated in the three resistors.... Get solution
68. The figure shows a circuit containing two batteries and three resistors. The batteries provide Vemf,1 = 12.0 V and Vemf,2 = 16.0 V and have no internal resistance. The resistors have resistances of R1 = 30.0 Ω, R2 = 40.0 Ω, and R3 = 20.0 Ω. Find the magnitude of the potential drop across R2.... Get solution
69. The figure shows a spherical capacitor. The inner sphere has radius a = 1.00 cm, and the outer sphere has radius b = 1.10 cm. The battery supplies Vemf = 10.0 V, and the resistor has a value of R = 10.0 M Ω.a) Determine the time constant of the RC circuit.b) Determine how much charge has accumulated on the capacitor after switch S has been closed for 0.1 ms.... Get solution
70. Write the set of equations that determines the three currents in the circuit shown in the figure. (Assume that the capacitor is initially uncharged.)... Get solution
71. Consider a series RC circuit with R = 10.0 Ω, C = 10.0 µF and V = 10.0 V.a) How much time, expressed as a multiple of the time constant, does it take for the capacitor to be charged to half of its maximum value?b) At this instant, what is the ratio of the energy stored in the capacitor to its maximum possible value?c) Now suppose the capacitor is fully charged. At time t = 0, the original circuit is opened and the capacitor is allowed to discharge across another resistor, R' = 1.00 Ω, that is connected across the capacitor. What is the time constant for the discharging of the capacitor?d) How many seconds does it take for the capacitor to discharge half of its maximum stored charge, Q? Get solution
72. a) What is the current in the 5.00- Ω resistor in the circuit shown in the figure?b) What is the power dissipated in the 5.00- Ω resistor?... Get solution
73. In the Wheatstone bridge shown in the figure, the known resistances are R1 = 8.00 Ω, R4 = 2.00 , and R5 = 6.00 Ω, and the battery supplies Vemf = 15.0 V. The variable resistance R2 is adjusted until the potential diff erence across R3 is zero (V = 0). Find i2 (the current through resistor R2) at this time.... Get solution
74. Consider the circuit with five resistors and two batteries (with no internal resistance) shown in the figure.a) Write a set of equations that will allow you to solve for the current in each of the resistors.b) Solve the equations from part (a) for the current in the 4.00- Ω resistor.... Get solution
75. Consider an “infinite,” that is, very large, two-dimensional square grid of identical capacitors, C, shown in the figure. Find the effective capacitance of the grid, as measured across any individual capacitor.... Get solution
76. A 11.45-V battery with internal resistance Ri = 0.1373 Ω is to be charged by a battery charger that is capable of delivering a current i = 9.759 A. What is the minimum emf the battery charger must be able to supply in order to charge the battery? Get solution
77. A battery with internal resistance Ri = 0.1415 Ω is being charged by a battery charger that delivers a current i = 5.399 A. The battery charger supplies an emf of 14.51 V. What is the potential difference across the terminals of the battery? Get solution
78. A 16.05-V battery with internal resistance Ri is being charged by a battery charger that is capable of delivering a current i = 6.041 A. The battery charger supplies an emf of 16.93 V. What is the internal resistance, Ri, of the battery? Get solution
80. The single-loop circuit shown in the figure has Vemf,1 = 16.37 V, Vemf,2 = 10.81 V, and R1 = 24.65 Ω. The current flowing in the circuit is 0.1600 A. What is the resistance R2?... Get solution
81. The single-loop circuit shown in the figure has Vemf,1 = 17.75 V, R1 = 25.95 Ω, and R2 = 13.59 Ω. The current flowing in the circuit is 0.1740 A. What is Vemf,2? Get solution
82. A 15.19-mF capacitor is fully charged using a battery that supplies Vemf = 131.1 V. The battery is disconnected, and a 616.5- Ω resistor is connected across the capacitor. What current will be fl owing through the resistor after 3.871 s? Get solution
83. A capacitor is fully charged using a battery that supplies Vemf = 133.1 V. The battery is disconnected, and a 655.1- Ω resistor is connected across the capacitor. The current fl owing through the resistor after 1.743 s is 0.1745 A. What is the capacitance of the capacitor? Get solution
84. A 19.79-mF capacitor is fully charged using a battery. The battery is disconnected, and a 693.5- Ω resistor is connected across the capacitor. The current fl owing through the resistor after 6.615 s is 0.1203 A. What is the emf supplied by the battery? Get solution
1mcq. A resistor and a capacitor are connected in series. If a second identical capacitor is connected in series in the same circuit, the time constant for the circuit willa) decrease.b) increase.c) stay the same. Get solution
2cc. In the circuit in the figure, there are three identical resistors. The switch, S, is initially open. When the switch is closed, what happens to the current flowing in R1?...a) The current in R1 decreases.b) The current in R1 increases.c) The current in R1 stays the same. Get solution
2mcq. A resistor and a capacitor are connected in series. If a second identical resistor is connected in series in the same circuit, the time constant for the circuit willa) decrease.b) increase.c) stay the same. Get solution
3cc. In the multiloop circuit shown in the figure, V1 = 6.00 V, V2 = 12.0 V, R1 = 10.0 , and R2 = 12.0 V. What is the magnitude of current i2?a) 0.500 Ab) 0.750 Ac) 1.00 Ad) 1.25 Ae) 1.50 A Get solution
3mcq. A circuit consists of a source of emf, a resistor, and a capacitor, all connected in series. The capacitor is fully charged. How much current is flowing through it?a) i = V/Rb) zeroc) neither (a) nor (b) Get solution
4cc. Which of the circuits shown in the figure will not function properly?1...2...3...a) 1b) 2c) 3d) 1 and 2e) 2 and 3 Get solution
4mcq. Which of the following will reduce the time constant in an RC circuit?a) increasing the dielectric constant of the capacitorb) adding an additional 20 m of wire between the capacitor and the resistorc) increasing the voltage of the batteryd) adding an additional resistor in parallel with the first resistore) none of the above Get solution
5cc. To discharge a capacitor in an RC circuit very quickly, what should the values of the resistance and the capacitance be?a) Both should be as large as possible.b) Resistance should be as large as possible, and capacitance as small as possible.c) Resistance should be as small as possible, and capacitance as large as possible.d) Both should be as small as possible. Get solution
5mcq. Kirchhoff’s Junction Rule states thata) the algebraic sum of the currents at any junction in a circuit must be zero.b) the algebraic sum of the potential changes around any closed loop in acircuit must be zero.c) the current in a circuit with a resistor and a capacitor varies exponentially with time.d) the current at a junction is given by the product of the resistance and the capacitance.e) the time for the current development at a junction is given by the product of the resistance and the capacitance. Get solution
6cc. In the circuit shown in the figure, the capacitor, C, is initially uncharged. Immediately after the switch is closed,...a) the current flowing through R1 is zero.b) the current flowing through R1 is larger than that through R2.c) the current flowing through R2 is larger than that through R1.d) the current flowing through R1 is the same as that through R2 Get solution
6mcq. How long will it take, as a multiple of the time constant, ..., for the capacitor in an RC circuit to be 98% charged?a) 9...b) 0.9...c) 90...d) 4...e) 0.98... Get solution
7cc. In the circuit shown in the figure, the switch is closed. After a long time,...a) the current through R1 is zero.b) the current flowing through R1 is larger than that through R2.c) the current flowing through R2 is larger than that through R1.d) the current flowing through R1 is the same as that through R2. Get solution
7mcq. A capacitor C is initially uncharged. At time t = 0, the capacitor is attached through a resistor R to a battery. The energy stored in the capacitor increases, eventually reaching a value U as t →∞. After a time equal to the time constant ... = RC, the energy stored in the capacitor is given bya) U/e.b) U/e2.c) U(1 – 1/e)2.d) U(1 – 1/e). Get solution
8mcq. Which of the following has the same unit as the electromotive force (emf)?a) currentb) electric potentialc) electric fieldd) electric powere) none of the above Get solution
9mcq. The capacitor in each circuit in the figure is first charged by a 10-V battery with no internal resistance. Then, the switch is flipped from position A to position B, and the capacitor is discharged through various resistors. For which circuit is the total energy dissipated by the resistor the largest?(a) ...(b) ...(c) ...(d) ...(e) ...(f) ... Get solution
10mcq. Two resistors, R1 = 3.00 Ω and R2 = 5.00 Ω, are connected in series with a battery and an ammeter, as shown in the figure. The battery supplies Vemf = 8.00 V, and the ammeter has the resistance RA = 1.00 Ω. What is the current measured by the ammeter?a) 0.500 Ab) 0.750 Ac) 0.889 Ad) 1.00 Ae) 1.50 A... Get solution
11mcq. An uncharged capacitor (C = 14.9 µF), a resistor (R = 24.3 kΩ), and a battery (V = 25.7 V) are connected in series, as shown in the figure. What is the charge on the capacitor at t = 0.3621 s after the switch is closed?a) 5.48·10–5 Cb) 7.94·10–5 Cc) 1.15·10–5 Cd) 1.66·10–4 Ce) 2.42·10–4 C... Get solution
12mcq. Kirchhoff’s Loop Rule states thata) the algebraic sum of the currents around a complete circuit loop must be zero.b) the resistances around a complete circuit loop must sum to zero.c) the sources of emf around a complete circuit loop must sum to zero.d) the sum of the potential differences around a complete circuit loop must be greater than zero.e) the potential differences around a complete circuit loop must sum to zero. Get solution
13mcq. Which of the following statements are true?1. An ideal ammeter should have infinite resistance.2. An ideal ammeter should have zero resistance.3. An ideal voltmeter should have infinite resistance.4. An ideal voltmeter should have zero resistance.a) 1 and 3b) 2 and 4c) 2 and 3d) 1 and 4 Get solution
14cq. You want to measure simultaneously the potential difference across and the current through a resistor, R. As the circuit diagrams show, there are two ways to connect the two instruments—ammeter and voltmeter—in the circuit. Comment on the result of the measurement using each configuration.... Get solution
15cq. If the capacitor in an RC circuit is replaced with two identical capacitors connected in series, what happens to the time constant for the circuit? Get solution
16cq. You want to accurately measure the resistance, Rdevice, of a new device. The figure shows two ways to accomplish this task. On the left, an ohmmeter produces a current through the device and measures that current, i, and the potential difference, ∆V, across the device. This potential difference includes the potential drops across the wires leading to and from the device and across the contacts that connect the wires to the device. These extra resistances cannot always be neglected, especially if the device has low resistance. This technique is called two-probe measurement since two probe wires are connected to the device. The resulting current, i, is measured with an ammeter. The total resistance is then determined by dividing ∆V by i. For this configuration, what is the resistance that the ohmmeter measures? In the alternative configuration, shown on the right, a similar current source is used to produce and measure the current through the device, but the potential difference, ∆V, is measured directly across the device with a nearly ideal voltmeter with extremely large internal resistance. This technique is called a four-probe measurement since four probe wires are connected to the device. What resistance is being measured...in this four-probe configuration? Is it different from that being assessed by the two-probe measurement? Why or why not? (Hint: Four-probe measurements are used extensively by scientists and engineers and are especially useful for accurate measurements of the resistance of materials or devices with low resistance.) Get solution
17cq. Explain why the time constant for an RC circuit increases with R and with C. (The answer “That’s what the formula says” is not sufficient.) Get solution
18cq. A battery, a resistor, and a capacitor are connected in series in an RC circuit. What happens to the current through a resistor after a long time? Explain using Kirchhoff’s rules. Get solution
19cq. How can you light a 1.0-W, 1.5-V bulb with your 12.0-V car battery? Get solution
20cq. A multiloop circuit contains a number of resistors and batteries. If the emf values of all the batteries are doubled, what happens to the currents in all the components of the circuit? Get solution
21cq. A multiloop circuit of resistors, capacitors, and batteries is switched on at t = 0, at which time all the capacitors are uncharged. The initial distribution of currents and potential differences in the circuit can be analyzed by treating the capacitors as if they were connecting wires or closed switches. The final distribution of currents and potential differences, which occurs after a long time has passed, can be analyzed by treating the capacitors as open segments or open switches. Explain why these tricks work. Get solution
22cq. Voltmeters are always connected in parallel with a circuit component, and ammeters are always connected in series. Explain why. Get solution
23cq. You wish to measure both the current through and the potential difference across some component of a circuit. It is not possible to do this simultaneously and accurately with ordinary voltmeters and ammeters. Explain why not. Get solution
25cq. Two capacitors in series are charged through a resistor. Identical capacitors are instead connected in parallel and charged through the same resistor. How do the times required to fully charge the two sets of capacitors compare? Get solution
26cq. The figure shows a circuit consisting of a battery connected to a resistor and a capacitor, which is fully discharged initially, in series with a switch.a) What is the current in the circuit at any time t?b) Calculate the total energy provided by the battery from t = 0 to t = ∞.c) Calculate the total energy dissipated from the resistor over the same time period.d) Is energy conserved in this circuit?... Get solution
27. Two resistors, R1 and R2, are connected in series across a potential difference, ∆V0. Express the potential drop across each resistor individually, in terms of these quantities. What is the significance of this arrangement? Get solution
28. A battery has Vemf = 12.0 V and internal resistance r = 1.00 Ω. What resistance, R, can be put across the battery to extract 10.0 W of power from it? Get solution
29. Three resistors are connected across a battery as shown in the figure. What values of R and Vemf will produce the indicated currents?... Get solution
30. Find the equivalent resistance for the circuit in the figure.... Get solution
32. In the circuit shown in the figure, V1 = 1.50 V, V2 = 2.50 V, R1 = 4.00 Ω, and R2 = 5.00 Ω. What is the magnitude of the current, i1, flowing through resistor R1?... Get solution
33. The circuit shown in the figure consists of two batteries supplying voltages VA and VB and three light bulbs with resistances R1, R2, and R3. Calculate the magnitudes of the currents i1, i2, and i3 flowing through the bulbs. Indicate the correct directions of current flow on the diagram. Calculate the power, PA and PB, supplied by battery A and by battery B.... Get solution
34. In the circuit shown in the figure, R1 = 5.00 Ω, R2 = 10.0 Ω, R3 = 15.0 Ω, Vemf,1 = 10.0 V, and Vemf,2 = 15.0 V. Using Kirchhoff’s Loop and Junction Rules, determine the currents i1, i2, and i3 flowing through R1, R2, and R3, respectively, in the direction indicated in the figure.... Get solution
35. For the circuit shown in the figure, find the magnitude and the direction of the current through each resistor and the power supplied by each battery, using the following values: R1 = 4.00 Ω, R2 = 6.00 Ω, R3 = 8.00 Ω, R4 = 6.00 Ω, R5 = 5.00 Ω, R6 = 10.0 Ω, R7 = 3.00 Ω, Vemf,1 = 6.00 V, and Vemf,2 = 12.0 V.... Get solution
36. A Wheatstone bridge is constructed using a 1.00-m-long Nichrome wire (the purple line in the figure) with a conducting contact that can slide along the wire. A resistor, R1 = 100. Ω, is placed on one side of the bridge, and another resistor, R, of unknown resistance, is placed on the other side. The contact is moved along the Nichrome wire, and it is found that the ammeter reading is zero for L = 25.0 cm. Knowing that the wire has a uniform cross section throughout its length, determine the unknown resistance.... Get solution
37. A “resistive ladder” is constructed with identical resistors, R, making up its legs and rungs, as shown in the figure. The ladder has “infinite” height; that is, it extends very far in one direction. Find the equivalent resistance of the ladder, measured between its “feet” (points A and B), in terms of R.... Get solution
38. Consider an “infinite,” that is, very large, two-dimensional square grid of identical resistors, R, as shown in the figure. Find the equivalent resistance of the grid, as measured across any individual resistor. (Hint: Symmetry and superposition are very helpful in solving this problem.)... Get solution
39. To extend the useful range of an ammeter, a shunt resistor, Rshunt, is placed in parallel with the ammeter as shown in the figure. If the internal resistance of the ammeter is Ri,A, determine the resistance that the shunt resistor has to have to extend the useful range of the ammeter by a factor N. Then, calculate the resistance the shunt resistor has to have to allow an ammeter with an internal resistance of 1.00 Ω and a maximum range of 1.00 A to measure currents up to 100. A. What fraction of the total 100.-A current flows through the ammeter, and what fraction flows through the shunt resistor?... Get solution
40. To extend the useful range of a voltmeter, an additional resistor, Rseries, is placed in series with the voltmeter as shown in the figure. If the internal resistance of the voltmeter is Ri,V, determine the resistance that the added series resistor has to have to extend the useful range of the voltmeter by a factor N. Then, calculate the resistance the series resistor has to have to allow a voltmeter with an internal resistance of 1.00 M Ω (106 Ω) and a maximum range of 1.00 V to measure potential differences up to 100. V. What fraction of the total 100.-V potential drop occurs across the voltmeter, and what fraction of that drop occurs across the added series resistor?... Get solution
41. As shown in the figure, a 6.0000-V battery is used to produce a current through two identical resistors, R, each having a resistance of 100.00 k Ω. A digital multimeter (DMM) is used to measure the potential difference across the first resistor. DMMs typically have an internal resistance of 10.00 M Ω. Determine the potential differences Vab (the potential difference between points a and b, which is the difference the DMM measures) and Vbc (the potential difference between points b and c, which is the difference across the second resistor). Nominally, Vab = Vbc, but this may not be the case here. How can this measurement error be reduced?... Get solution
42. You want to make an ohmmeter to measure the resistance of unknown resistors. You have a battery with voltage Vemf = 9.00 V, a variable resistor, R, and an ammeter that measures current on a linear scale from 0 to 10.0 mA.a) What resistance should the variable resistor have so that the ammeter gives its full-scale (maximum) reading when the ohmmeter is shorted?b) Using the resistance from part (a), what is the unknown resistance if the ammeter reads 1/4 of its full scale? Get solution
43. A circuit consists of two 1.00-k Ω resistors in series with an ideal 12.0-V battery.a) Calculate the current flowing through each resistor.b) A student trying to measure the current flowing through one of the resistors inadvertently connects an ammeter in parallel with that resistor rather than in series with it. How much current will flow through the ammeter, assuming that it has an internal resistance of 1.00 Ω? Get solution
44. A circuit consists of two 100.-k Ω resistors in series with an ideal 12.0-V battery.a) Calculate the potential drop across one of the resistors.b) A voltmeter with internal resistance 10.0 M Ω is connected in parallel with one of the two resistors in order to measure the potential drop across the resistor. By what percentage will the voltmeter reading deviate from the value you determined in part (a)? (Hint: The difference is rather small so it is helpful to solve algebraically first to avoid a rounding error.) Get solution
45. Initially, switches S1 and S2 in the circuit shown in the figure are open and the capacitor has a charge of 100. mC. About how long will it take after switch S1 is closed for the charge on the capacitor to drop to 5.00 mC?... Get solution
46. What is the time constant for the discharging of the capacitors in the circuit shown in the figure? If the 2.00-µF capacitor initially has a potential difference of 10.0 V across its plates, how much charge is left on it after the switch has been closed for a time equal to half of the time constant?... Get solution
47. The circuit shown in the figure has a switch, S, two resistors, R1 = 1.00 Ω and R2 = 2.00 Ω, a 12.0-V battery, and a capacitor with C = 20.0 µF. After the switch is closed, what will the maximum charge on the capacitor be? How long after the switch has been closed will the capacitor have 50.0% of this maximum charge?... Get solution
48. In the movie Back to the Future, time travel is made possible by a flux capacitor, which generates 1.21 GW of power. Assuming that a 1.00-F capacitor is charged to its maximum capacity with a 12.0-V car battery and is discharged through a resistor, what resistance is necessary to produce a peak power output of 1.21 GW in the resistor? How long would it take for a 12.0-V car battery to charge the capacitor to 90.0% of its maximum capacity through this resistor? Get solution
49. During a physics demonstration, a fully charged 90.0-µF capacitor is discharged through a 60.0- Ω resistor. How long will it take for the capacitor to lose 80.0% of its initial energy? Get solution
50. Two parallel plate capacitors, C1 and C2, are connected in series with a 60.0-V battery and a 300.-k Ω resistor, as shown in the figure. Both capacitors have plates with an area of 2.00 cm2 and a separation of 0.100 mm. Capacitor C1 has air between its plates, and capacitor C2 has the gap filled with a certain porcelain (dielectric constant of 7.00 and dielectric strength of 5.70 kV/mm). The switch is closed, and a long time passes.a) What is the charge on capacitor C1?b) What is the charge on capacitor C2?c) What is the total energy stored in the two capacitors?d) What is the electric field inside capacitor C2?... Get solution
51. A parallel plate capacitor with C = 0.0500 µF has a separation between its plates of d = 50.0 µm. The dielectric that fills the space between the plates has dielectric constant κ = 2.50 and resistivity ρ = 4.00·1012 Ω m. What is the time constant for this capacitor? (Hint: First calculate the area of the plates for the given C and K, and then determine the resistance of the dielectric between the plates.) Get solution
52. A 12.0-V battery is attached to a 2.00-mF capacitor and a 100.- Ω resistor. Once the capacitor is fully charged, what is the energy stored in it? What is the energy dissipated as heat by the resistor as the capacitor is charging? Get solution
53. A capacitor bank is designed to discharge 5.00 J of energy through a 10.0-k Ω resistor array in under 2.00 ms. To what potential difference must the bank be charged, and what must the capacitance of the bank be? Get solution
54. The circuit in the figure has a capacitor connected to a battery, two switches, and three resistors. Initially, the capacitor is uncharged and both of the switches are open.a) Switch S1 is closed. What is the current flowing out of the battery immediately after switch S1 is closed?b) After about 10.0 min, switch S2 is closed. What is the current flowing out of the battery immediately after switch S2 is closed?c) What is the current flowing out of the battery about 10.0 min after switch S2 has been closed?d) After another 10.0 min, switch S1 is opened. How long will it take until the current in the 200.- Ω resistor is below 1.00 mA?... Get solution
55. In the circuit shown in the figure, R1 = 10.0 Ω, R2 = 4.00 Ω, and R3 = 10.0 Ω, and the capacitor has capacitance C = 2.00 µF.a) Determine the potential difference, ∆VC, across the capacitor after switch S has been closed for a long time.b) Determine the energy stored in the capacitor when switch S has been closed for a long time.c) After switch S is opened, how much energy is dissipated through R3?... Get solution
56. A cube of gold that is 2.50 mm on a side is connected across the terminals of a 15.0-µF capacitor that initially has a potential difference of 100.0 V between its plates.a) What time is required to fully discharge the capacitor?b) When the capacitor is fully discharged, what is the temperature of the gold cube?... Get solution
57. A “capacitive ladder” is constructed with identical capacitors, C, making up its legs and rungs, as shown in the figure. The ladder has “infinite” height; that is, it extends very far in one direction. Calculate the equivalent capacitance of the ladder, measured between its “feet” (points A and B), in terms of C.... Get solution
58. In the circuit in the figure, the capacitors are completely uncharged. The switch is then closed for a long time.a) Calculate the current through the 4.00- Ω resistor.b) Find the potential difference across the 4.00- Ω, 6.00- Ω, and 8.00- Ω resistors.c) Find the potential difference across the 1.00-µF capacitor.... Get solution
59. The ammeter your physics instructor uses for in-class demonstrations has internal resistance Ri = 75.0 Ω and measures a maximum current of 1.50 mA. The same ammeter can be used to measure currents of much greater magnitudes by wiring a shunt resistor of relatively small resistance, Rshunt, in parallel with the ammeter. (a) Sketch the circuit diagram, and explain why the shunt resistor connected in parallel with the ammeter allows it to measure larger currents. (b) Calculate the resistance the shunt resistor has to have to allow the ammeter to measure a maximum current of 15.0 A. Get solution
60. Many electronics devices can be dangerous even after they are shut off. Consider an RC circuit with a 150.-µF capacitor and a 1.00-M Ω resistor connected to a 200.-V power source for a long time and then disconnected and shorted, as shown in the figure. How long will it be until the potential difference across the capacitor drops to below 50.0 V?... Get solution
61. Design a circuit like that shown in the figure to operate a strobe light. The capacitor discharges power through the light bulb filament (resistance of 2.50 k Ω) in 0.200 ms and charges through a resistor R, with a repeat cycle of 1.00 kHz. What capacitor and resistor should be used?... Get solution
62. An ammeter with an internal resistance of 53.0 Ω measures a current of 5.25 mA in a circuit containing a battery and a total resistance of 1130 Ω. The insertion of the ammeter alters the resistance of the circuit, and thus the measurement does not give the actual value of the current in the circuit without the ammeter. Determine the actual value of the current. Get solution
63. In the circuit shown in the figure, a 10.0-µF capacitor is charged by a 9.00-V battery with the two-way switch kept in position X for a long time. Then the switch is suddenly flicked to position Y. What current flows through the 40.0- Ω resistora) immediately after the switch moves to position Y?b) 1.00 ms after the switch moves to position Y?... Get solution
64. How long will it take for the current in a circuit to drop from its initial value to 1.50 mA if the circuit contains two 3.80-µF capacitors that are initially uncharged, two 2.20-k Ω resistors, and a 12.0-V battery all connected in series? Get solution
65. An RC circuit has a time constant of 3.10 s. At t = 0, the process of charging the capacitor begins. At what time will the energy stored in the capacitor reach half of its maximum value? Get solution
66. For the circuit shown in the figure, determine the charge on each capacitor when (a) switch S has been closed for a long time and (b) switch S has been open for a long time.... Get solution
67. Three resistors, R1 = 10.0 Ω, R2 = 20.0 Ω, and R3 = 30.0 Ω, are connected in a multiloop circuit, as shown in the figure. Determine the amount of power dissipated in the three resistors.... Get solution
68. The figure shows a circuit containing two batteries and three resistors. The batteries provide Vemf,1 = 12.0 V and Vemf,2 = 16.0 V and have no internal resistance. The resistors have resistances of R1 = 30.0 Ω, R2 = 40.0 Ω, and R3 = 20.0 Ω. Find the magnitude of the potential drop across R2.... Get solution
69. The figure shows a spherical capacitor. The inner sphere has radius a = 1.00 cm, and the outer sphere has radius b = 1.10 cm. The battery supplies Vemf = 10.0 V, and the resistor has a value of R = 10.0 M Ω.a) Determine the time constant of the RC circuit.b) Determine how much charge has accumulated on the capacitor after switch S has been closed for 0.1 ms.... Get solution
70. Write the set of equations that determines the three currents in the circuit shown in the figure. (Assume that the capacitor is initially uncharged.)... Get solution
71. Consider a series RC circuit with R = 10.0 Ω, C = 10.0 µF and V = 10.0 V.a) How much time, expressed as a multiple of the time constant, does it take for the capacitor to be charged to half of its maximum value?b) At this instant, what is the ratio of the energy stored in the capacitor to its maximum possible value?c) Now suppose the capacitor is fully charged. At time t = 0, the original circuit is opened and the capacitor is allowed to discharge across another resistor, R' = 1.00 Ω, that is connected across the capacitor. What is the time constant for the discharging of the capacitor?d) How many seconds does it take for the capacitor to discharge half of its maximum stored charge, Q? Get solution
72. a) What is the current in the 5.00- Ω resistor in the circuit shown in the figure?b) What is the power dissipated in the 5.00- Ω resistor?... Get solution
73. In the Wheatstone bridge shown in the figure, the known resistances are R1 = 8.00 Ω, R4 = 2.00 , and R5 = 6.00 Ω, and the battery supplies Vemf = 15.0 V. The variable resistance R2 is adjusted until the potential diff erence across R3 is zero (V = 0). Find i2 (the current through resistor R2) at this time.... Get solution
74. Consider the circuit with five resistors and two batteries (with no internal resistance) shown in the figure.a) Write a set of equations that will allow you to solve for the current in each of the resistors.b) Solve the equations from part (a) for the current in the 4.00- Ω resistor.... Get solution
75. Consider an “infinite,” that is, very large, two-dimensional square grid of identical capacitors, C, shown in the figure. Find the effective capacitance of the grid, as measured across any individual capacitor.... Get solution
76. A 11.45-V battery with internal resistance Ri = 0.1373 Ω is to be charged by a battery charger that is capable of delivering a current i = 9.759 A. What is the minimum emf the battery charger must be able to supply in order to charge the battery? Get solution
77. A battery with internal resistance Ri = 0.1415 Ω is being charged by a battery charger that delivers a current i = 5.399 A. The battery charger supplies an emf of 14.51 V. What is the potential difference across the terminals of the battery? Get solution
78. A 16.05-V battery with internal resistance Ri is being charged by a battery charger that is capable of delivering a current i = 6.041 A. The battery charger supplies an emf of 16.93 V. What is the internal resistance, Ri, of the battery? Get solution
80. The single-loop circuit shown in the figure has Vemf,1 = 16.37 V, Vemf,2 = 10.81 V, and R1 = 24.65 Ω. The current flowing in the circuit is 0.1600 A. What is the resistance R2?... Get solution
81. The single-loop circuit shown in the figure has Vemf,1 = 17.75 V, R1 = 25.95 Ω, and R2 = 13.59 Ω. The current flowing in the circuit is 0.1740 A. What is Vemf,2? Get solution
82. A 15.19-mF capacitor is fully charged using a battery that supplies Vemf = 131.1 V. The battery is disconnected, and a 616.5- Ω resistor is connected across the capacitor. What current will be fl owing through the resistor after 3.871 s? Get solution
83. A capacitor is fully charged using a battery that supplies Vemf = 133.1 V. The battery is disconnected, and a 655.1- Ω resistor is connected across the capacitor. The current fl owing through the resistor after 1.743 s is 0.1745 A. What is the capacitance of the capacitor? Get solution
84. A 19.79-mF capacitor is fully charged using a battery. The battery is disconnected, and a 693.5- Ω resistor is connected across the capacitor. The current fl owing through the resistor after 6.615 s is 0.1203 A. What is the emf supplied by the battery? Get solution
