Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 21, Problem 59P
The circuit in Figure P21.59 has been connected for a long time. (a) What is the potential difference across the capacitor? (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-tenth its initial voltage?
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Chapter 21 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 21.1 - Consider positive and negative charges moving...Ch. 21.2 - Prob. 21.2QQCh. 21.2 - When does an incandescent lightbulb carry more...Ch. 21.5 - For the two incandescent lightbulbs shown in...Ch. 21.7 - Prob. 21.5QQCh. 21.7 - With the switch in the circuit of Figure 21.18a...Ch. 21.7 - Prob. 21.7QQCh. 21.9 - Consider the circuit in Figure 21.29 and assume...Ch. 21 - If the terminals of a battery with zero internal...Ch. 21 - Wire B has twice the length and twice the radius...
Ch. 21 - The current-versus-voltage behavior of a certain...Ch. 21 - Prob. 4OQCh. 21 - A potential difference of 1.00 V is maintained...Ch. 21 - Prob. 6OQCh. 21 - A metal wire of resistance R is cut into three...Ch. 21 - The terminals of a battery are connected across...Ch. 21 - Prob. 9OQCh. 21 - Two conducting wires A and B of the same length...Ch. 21 - When resistors with different resistances are...Ch. 21 - When operating on a 120-V circuit, an electric...Ch. 21 - Prob. 13OQCh. 21 - Prob. 14OQCh. 21 - In the circuit shown in Figure OQ21.15, each...Ch. 21 - Prob. 1CQCh. 21 - Prob. 2CQCh. 21 - Prob. 3CQCh. 21 - Referring to Figure CQ21.4, describe what happens...Ch. 21 - When the potential difference across a certain...Ch. 21 - Use the atomic theory of matter to explain why the...Ch. 21 - Prob. 7CQCh. 21 - (a) What advantage does 120-V operation offer over...Ch. 21 - Prob. 9CQCh. 21 - Prob. 10CQCh. 21 - If you were to design an electric heater using...Ch. 21 - Prob. 12CQCh. 21 - Prob. 13CQCh. 21 - Prob. 14CQCh. 21 - Why is it possible for a bird to sit on a...Ch. 21 - Prob. 1PCh. 21 - Prob. 2PCh. 21 - The quantity of charge q (in coulombs) that has...Ch. 21 - Prob. 4PCh. 21 - Prob. 5PCh. 21 - Figure P21.6 represents a section of a conductor...Ch. 21 - Prob. 7PCh. 21 - A 0.900-V potential difference is maintained...Ch. 21 - Prob. 9PCh. 21 - A lightbulb has a resistance of 240 when...Ch. 21 - Prob. 11PCh. 21 - Prob. 12PCh. 21 - While taking photographs in Death Valley on a day...Ch. 21 - Prob. 14PCh. 21 - If the current carried by a conductor is doubled,...Ch. 21 - Prob. 16PCh. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - Prob. 22PCh. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - A 100-W lightbulb connected to a 120-V source...Ch. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - A toaster is rated at 600 W when connected to a...Ch. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Review. A well-insulated electric water heater...Ch. 21 - A battery has an emf of 15.0 V. The terminal...Ch. 21 - Two 1.50-V batterieswith their positive terminals...Ch. 21 - An automobile battery has an emf of 12.6 V and an...Ch. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - Consider the circuit shown in Figure P21.39. Find...Ch. 21 - Four resistors are connected to a battery as shown...Ch. 21 - Three 100- resistors are connected as shown in...Ch. 21 - Prob. 42PCh. 21 - Calculate the power delivered to each resistor in...Ch. 21 - Prob. 44PCh. 21 - The ammeter shown in Figure P21.45 reads 2.00 A....Ch. 21 - Prob. 46PCh. 21 - The circuit shown in Figure P21.47 is connected...Ch. 21 - In Figure P21.47, show how to add just enough...Ch. 21 - Taking R = 1.00 k and = 250 V in Figure P21.49,...Ch. 21 - For the circuit shown in Figure P21.50, we wish to...Ch. 21 - In the circuit of Figure P21.51, determine (a) the...Ch. 21 - Jumper cables are connected from a fresh battery...Ch. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - In the circuit of Figure P21.57, the switch S has...Ch. 21 - Prob. 58PCh. 21 - The circuit in Figure P21.59 has been connected...Ch. 21 - Assume that global lightning on the Earth...Ch. 21 - Prob. 61PCh. 21 - Prob. 62PCh. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - An oceanographer is studying how the ion...Ch. 21 - The values of the components in a simple series RC...Ch. 21 - Prob. 68PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - The student engineer of a campus radio station...Ch. 21 - Prob. 72PCh. 21 - A battery has an emf and internal resistance r. A...Ch. 21 - Prob. 74PCh. 21 - Prob. 75PCh. 21 - Prob. 76PCh. 21 - Prob. 77P
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- 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 P26.37arrow_forwardA 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.arrow_forwardConsider the circuit shown in Figure P20.52, 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 S2. Calculate (a) the initial charge acquired by C1 and (b) the final charge on each capacitor. Figure P20.52arrow_forward
- Find the equivalent capacitance between points a and b in the combination of capacitors shown in Figure P20.51. Figure P20.51arrow_forwardThe capacitances of three capacitors are in the ratio 1:2:3. Their equivalent capacitance when all three are in parallel is 120.0 pF greater than when all three are in series. Determine the capacitance of each capacitor.arrow_forwardFigure P27.75 shows four capacitors with CA = 4.00 F, CB = 8.00 F. CC = 6.00 F. and CD = 5.00 F connected across points a and b, which have potential difference Vab = 12.0 V. a. What is the equivalent capacitance of the four capacitors? b. What is the charge on each of the four capacitors?arrow_forward
- 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 P27.85arrow_forwardGiven the arrangement of capacitors in Figure P27.23, find an expression for the equivalent capacitance between points a and b. Figure P27.23 Problems 23 and 24.arrow_forwardConsider 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.arrow_forward
- Assume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed pulse duration = 50.0 m/s 2.0 103 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with K+ ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in Figure P18.43. Model the axon as a parallel-plate capacitor and take C = 0A/d and Q = C V to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.0 108 m, axon radius r = 1.0 101 m, and cell-wall dielectric constant = 3.0. (a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 102 V? Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per squared (2). An atom has a cross section of about 1 2 (1 = 1010 m). (b) How much positive charge must flow through the cell membrane to reach the excited state of + 3.0 102 V from the resting state of 7.0 102 V? How many sodium ions (Na+) is this? (c) If it takes 2.0 ms for the Na+ ions to enter the axon, what is the average current in the axon wall in this process? (d) How much energy does it take to raise the potential of the inner axon wall to + 3.0 102 V, starting from the resting potential of 7.0 102 V? Figure P18.43 Problem 43 and 44.arrow_forwardAn arrangement of capacitors is shown in Figure P27.23. a. If C = 9.70 105 F, what is the equivalent capacitance between points a and b? b. A battery with a potential difference of 12.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor? Figure P27.23 Problems 23 and 24.arrow_forwardA 4.00F capacitor and a 6.00F capacitor are connected in parallel across a 600-V supply line, (a) Find the charge on each capacitor and voltage across each, (b) The charged capacitors are disconnected from the line and from each other. They are then reconnected to each other with terminals of unlike sign together. Find the final charge on each capacitor and the voltage across each.arrow_forward
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