Three capacitors C1, C2 and C3 are connected in series to a battery asshown in the figure. The capacitances of each capacitor are 2 µF, 3 µFand 4 µF respectively. Which statement about the circuit is true?HHHHC1 C2 C315 VSelect one:O The potential difference across C3 is higher than C1.O The potential difference across C, is the biggest.The potential difference across C is the smallest.The potential difference across C2 is higher than C1,

Three capacitors C1, C2 and C3 are connected in series to a battery as shown in the figure. The capacitances of each capacitor are 2 µF, 3 µF and 4 µF respectively. Which statement about the circuit is true? HHHH Ci C2 C3 15 V Select one:

Three capacitors C1, C2 and C3 are connected in series to a battery as shown in the figure. The capacitances of each capacitor are 2 µF, 3 µF and 4 µF respectively. Which statement about the circuit is true? HHHH Ci C2 C3 15 V Select one:

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter27: Capacitors And Batteries

Section: Chapter Questions

Problem 85PQ: The circuit in Figure P27.85 shows four capacitors connected to a battery. The switch S is initially...

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The circuit in Figure P27.85 shows four capacitors connected to a battery. The switch S is initially open, and all capacitors have reached their final charge. The capacitances are C1 = 6.00 F, C2 = 12.00 F, C3 = 8.00 F, and C4 = 4.00 F. a. Find the potential difference across each capacitor and the charge stored in each. b. The switch is now closed. What is the new final potential difference across each capacitor and the new charge stored in each? Figure P27.85
(a) Determine the equilibrium charge on the capacitor in the circuit of Figure P27.46 as a function of R. (b) Evaluate the charge when R = 10.0 . (c) Can the charge on the capacitor be zero? If so, for what value of R? (d) What is the maximum possible magnitude of the charge on the capacitor? For what value of R is it achieved? (c) Is it experimentally meaningful to take R = ? Explain your answer. If so, what charge magnitude does it imply? Figure P27.46
A Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.
A pair of capacitors with capacitances CA = 3.70 F and CB = 6.40 F are connected in a network. What is the equivalent capacitance of the pair of capacitors if they are connected a. in parallel and b. in series?
A charge Q is placed on a capacitor of capacitance C. The capacitor is connected into the circuit shown in Figure P26.37, with an open switch, a resistor, and an initially uncharged capacitor of capacitance 3C. The switch is then closed, and the circuit comes to equilibrium. In terms of Q and C, find (a) the final potential difference between the plates of each capacitor, (b) the charge on each capacitor, and (c) the final energy stored in each capacitor. (d) Find the internal energy appearing in the resistor. Figure P26.37
The network of capacitors shown below are all uncharged when a 300-V potential is applied between points A and B with the switch S open, (a) What is the Potential difference VE-VD? (b) What is the potential at point E after the switch is closed? (c) How much charge flows through the switch after it is closed?
Consider the circuit shown in Figure P26.24, where C1, = 6.00 F, C2 = 3.00 F. and V = 20.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing Calculate (a) the initial charge acquired by C, and (b) the final charge on each capacitor.
Two 1.5-V batteries are required in a flashlight. a. If the batteries are connected as shown in configuration 1 in Figure P27.18, what is the potential difference between points A and B? b. If, instead, the batteries are connected as shown in configuration 2, what is the potential difference between points A and B? c. Use your answers to figure out why a flashlight with two good batteries may not light up. FIGURE P27.18
Suppose that the capacitance of a variable capacitor can be manually changed from 100 to 800 pF by turning a dial connected to one set of plates by a shaft, from 0 to 180 . With the dial set at 180 (corresponding to C = 800 pF), the capacitor is connected to a 500-V source. After charging, the capacitor is disconnected from the source, and the dial is turned to 0°. (a) What is the charge on the capacitor? (b) What is the voltage across the capacitor when the dial is set to 0°?
Two capacitors, C1 = 25.0 F and C2 = 5.00 F, are connected in parallel and charged with a 100-V power supply. (a) Draw a circuit diagram and (b) calculate the total energy stored in the two capacitors. (c) What If? What potential difference would be required across the same two capacitors connected in series for the combination to store the same amount of energy as in part (b)? (d) Draw a circuit diagram of the circuit described in part (c).
For the four capacitors in the circuit shown in Figure P27.30, CA = 1.00 F, CB = 4.00 F, CC = 2.00 F, and CD = 3.00 F. What is the equivalent capacitance between points a and b? Figure P27.30
Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are connected in series, and a 12.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. (b) Find the energy stored in each individual capacitor. Show that the sum of these two energies is the same as the energy found in part (a). Will this equality always be true, or does it depend on the number of capacitors and their capacitances? (c) If the same capacitors were connected in parallel, what potential difference would be required across them so that the combination stores the same energy' as in part (a)? Which capacitor stores more energy in this situation, C1 or C2?