Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 32, Problem 47AP
To determine
The angular frequency
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An initially uncharged capacitor with a capacitance of C = 5.00 µF is connected in series with a resistor with a resistance of R = 4.5 k. If this series combination of circuit elements is attached to an ideal battery with an emf of Ɛ = 450 V by means of a switch S that is closed at time t = 0, then answer the following questions. (a) What is the time constant of this circuit? (b) How long will it take for the capacitor to reach 75% of its final charge? (c) What is the final charge on the capacitor?
A circuit has a voltage source of 9 V, a capacitor of capacitance 1 × 10 –3 F, and a resistor of 60 Ω .
a. What is the time constant of this circuit?
b. What is the maximum charge on the capacitor?
c. The circuit is switched on at t = 0 seconds. How much charge is on the capacitor at t = 0.1 seconds?
d. At what time does the capacitor have half of its maximum charge?
e. At what time does the capacitor have 90% of its maximum charge?
f. After the capacitor is completely charged, you disconnect the circuit and the capacitor starts discharging. How much charge is on the capacitor after 2 milliseconds?
g. How long does it take for the capacitor to lose 99% of its charge?
A series RC circuit with C = 48 mF and R = 50 Ω is driven by a 24 V source. With thecapacitor initially uncharged, an open switch in the circuit is closed to complete the circuit.
a) What is the voltage across the capacitor immediately after the switch is closed?b) What is the voltage across the resistor immediately after the switch is closed?c) What is the current in the resistor immediately after the switch is closed?d) What is the voltage across the capacitor after the switch has been closed for 1 s?e) What is the voltage across the resistor after the switch has been closed for 1 s?f) What is the current in the resistor after the switch has been closed for 1 s?
Chapter 32 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 32.2 - Consider the voltage phasor in Figure 32.4, shown...Ch. 32.3 - Consider the AC circuit in Figure 32.8. The...Ch. 32.4 - Consider the AC circuit in Figure 32.11. The...Ch. 32.4 - Consider the AC circuit in Figure 32.12. The...Ch. 32.5 - Label each part of Figure 32.16, (a), (b), and...Ch. 32.6 - Prob. 32.6QQCh. 32.7 - Prob. 32.7QQCh. 32 - (a) What is the resistance of a lightbulb that...Ch. 32 - A certain lightbulb is rated at 60.0 W when...Ch. 32 - The current in the circuit shown in Figure P32.3...
Ch. 32 - Figure P32.4 shows three lightbulbs connected to a...Ch. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - Prob. 8PCh. 32 - An AC source has an output rms voltage of 78.0 V...Ch. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - An AC source with an output rms voltage of 86.0 V...Ch. 32 - What is the maximum current in a 2.20-F capacitor...Ch. 32 - Prob. 14PCh. 32 - In addition to phasor diagrams showing voltages...Ch. 32 - An AC source with Vmax = 150 V and f = 50.0 Hz is...Ch. 32 - You are working in a factory and have been tasked...Ch. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - A 60.0-ft resistor is connected in series with a...Ch. 32 - A series RLC circuit has a resistance of 45.0 and...Ch. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 32 - Prob. 25PCh. 32 - A series RLC circuit has components with the...Ch. 32 - You wish to build a series RLC circuit for a...Ch. 32 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 32 - Prob. 29PCh. 32 - The primary coil of a transformer has N1 = 350...Ch. 32 - Prob. 31PCh. 32 - A transmission line that has a resistance per unit...Ch. 32 - Prob. 33APCh. 32 - Prob. 34APCh. 32 - Prob. 35APCh. 32 - Prob. 36APCh. 32 - Prob. 37APCh. 32 - Prob. 38APCh. 32 - Prob. 39APCh. 32 - Prob. 40APCh. 32 - Prob. 41APCh. 32 - (a) Sketch a graph of the phase angle for an RLC...Ch. 32 - A series RLC circuit contains the following...Ch. 32 - Review. In the circuit shown in Figure P32.44,...Ch. 32 - You have decided to build your own speaker system...Ch. 32 - Prob. 46APCh. 32 - Prob. 47APCh. 32 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 32 - The resistor in Figure P32.49 represents the...Ch. 32 - Prob. 50CPCh. 32 - Prob. 51CP
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- Figure P29.84 shows a circuit that consists of two identical emf devices. If R1 = R2 = R and the switch is closed, find an expression (in terms of R and ) for the current I that is in the branch from point a to b.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_forwardEach of the three situations in Figure P32.68 shows a resistor in a circuit in which currents are induced. Using Lenzs law, determine whether the current in each situation is from a to b or from b to a. a. If the current I in the wire in Figure P32.68A is increased from zero to I, what is the direction of the current induced across the resistor R? b. The switch in Figure P32.68B is initially closed and is thrown open at t = 0. What is the direction of the current induced across the resistor R immediately afterward? c. A bar magnet is brought close to the circuit shown in Figure P32.68C. What is the direction of the current induced across the resistor R?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_forward"(a) What is the resistance of a lightbulb that uses an average power of 75.0 W when connected to a 60.0-Hz power source having a maximum voltage of 172 V? ? (b) What is the resistance of a 150-W lightbulb?"arrow_forwardA 210.0- resistor and an initially uncharged 6.00-F capacitor are connected in series to a 12.0-V emf source. A switch is closed to complete the circuit at t = 0. a. What is the time constant of this circuit? b. What is the maximum charge on the capacitor? c. What is the charge on the capacitor at t = 3?arrow_forward
- At time t = 0, an RC circuit consists of a 12.0-V emf device, a 60.0- resistor, and a 150.0-F capacitor that is fully charged. The switch is thrown so that the capacitor begins to discharge. a. What is the time constant t of this circuit? b. How much charge is stored by the capacitor at t = 0.5, 2, and 4?arrow_forwardThree resistors with resistances R1 = R/2 and R2 = R3 = R are connected as shown, and a potential difference of 225 V is applied across terminals a and b (Fig. P29.49). a. If the resistor R1 dissipates 75.0 W of power, what is the value of R? b. What is the total power supplied to the circuit by the emf? c. What is the potential difference across each of the three resistors?arrow_forwardIn the circuit of Figure P27.25, the switch S has been open for a long time. It is then suddenly closed. 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. Figure P27.25 Problems 25 and 26.arrow_forward
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