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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Question
Chapter 21, Problem 53P
(a)
To determine
The time constant of the circuit.
(b)
To determine
The maximum charge on the capacitor after the switch is thrown closed.
(c)
To determine
The current in the resistor
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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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- The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C = 1.00 F, R = 2.00 106 , and = 10.0 V. At the instant 10.0 s after the switch is closed, calculate (a) the charge on the capacitor, (b) the current in the resistor, (c) the rate at which energy is being stored in the capacitor, and (d) the rate at which energy is being delivered by the battery.arrow_forwardConsider a series RC circuit as in Figure P18.35 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed. Figure P18.35 Problem 35 and 38.arrow_forwardIn the RC circuit shown in Figure P29.78, an ideal battery with emf and internal resistance r is connected to capacitor C. The switch S is initially open and the capacitor is uncharged. At t = 0, the switch is closed. a. Determine the charge q on the capacitor at time t. b. Find the current in the branch be at time t. What is the current as t goes to infinity?arrow_forward
- In the circuit of Figure P21.57, the switch S has been open for a long time. It is then suddenly closed. Take = 10.0 V, R1 = 50.0 k, R2 = 100 k, and C = 10.0 F. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time.arrow_forwardConsider a series RC circuit as in Figure P28.38 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed.arrow_forwardA capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.arrow_forward
- Figure P29.60 shows a simple RC circuit with a 2.50-F capacitor, a 3.50-M resistor, a 9.00-V emf, and a switch. What are a. the charge on the capacitor, b. the current in the resistor, c. the rate at which the capacitor is storing energy, and d. the rate at which the battery is delivering energy exactly 7.50 s alter the switch is closed?arrow_forwardIf the terminals of a battery with zero internal resistance are connected across two identical resistors in series, the total power delivered by the battery is 8.00 W. If the same battery is connected across the same resistors in parallel, what is the total power delivered by the battery? (a) 16.0 W (b) 32.0 W (c) 2.00 W (d) 4.00 W (e) none of those answersarrow_forwardFigure P18.26 shows a voltage divider, a circuit used to obtain a desired voltage Vout from a source voltage . Determine the required value of R2 if = 5.00 V, Vout = 1.50 V and R1 = 1.00 103 (Hint: Use Kirchhoff's loop rule, substituting Vout = IR2, to find the current. Then solve Ohms law for R2. Figure P18.26arrow_forward
- Draw two graphs of charge versus time on a capacitor. Draw one for charging an initially uncharged capacitor in series with a resistor, as in the circuit in Figure 21.38, starting from t = 0. Draw the other for discharging a capacitor through a resistor, as in the circuit in Figure 21.39, starting at t = 0, with an initial charge Q0. Show at least two intervals of t.arrow_forward(a) What is the unknown emfx in a potentiometer that balances when Rxis 10.0 O, and balances when Rsis 15.0for a standard 3.000-V emf? (b) The same emfx is placed in the same potentiometer, which now balances when Rsis 15.0for a standard emf of 3.100 V. At what resistance Rxwill the potentiometer balance?arrow_forwardThe circuit shown in Figure P28.78 is set up in the laboratory to measure an unknown capacitance C in series with a resistance R = 10.0 M powered by a battery whose emf is 6.19 V. The data given in the table are the measured voltages across the capacitor as a function of lime, where t = 0 represents the instant at which the switch is thrown to position b. (a) Construct a graph of In (/v) versus I and perform a linear least-squares fit to the data, (b) From the slope of your graph, obtain a value for the time constant of the circuit and a value for the capacitance. v(V) t(s) In (/v) 6.19 0 5.56 4.87 4.93 11.1 4.34 19.4 3.72 30.8 3.09 46.6 2.47 67.3 1.83 102.2arrow_forward
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DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY