1. In the circuit of Figure P28.41, the switch S has been w open for a long time. It is then suddenly closed. Take E = 10.0 V, R, = 50.0 kN, R, = . 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. 100 kN, and C= 10.0 µF. %3D

1. In the circuit of Figure P28.41, the switch S has been w open for a long time. It is then suddenly closed. Take E = 10.0 V, R, = 50.0 kN, R, = . 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. 100 kN, and C= 10.0 µF. %3D

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Direct-current Circuits

Section: Chapter Questions

Problem 25P: In the circuit of Figure P27.25, the switch S has been open for a long time. It is then suddenly...

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In the circuit of Figure P27.25, 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. Figure P27.25 Problems 25 and 26.
Consider 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.
In 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.
At one instant, a current of 6.0 A flows through part of a circuit as shown in Figure P33.12. Determine the instantaneous potential difference between points A and B if the current starts to decrease at a constant rate of 1.0 102 A/s. FIGURE P33.12
In 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?
A circuit consists of three identical lamps connected to a battery as in Figure OQ28.14. The battery has some internal resistance. The switch S, originally open, is closed. (i) What then happens to the brightness of lamp B? (a) It increases. (b) It decreases somewhat. (c) It does not change. (d) It drops to zero. For parts (ii) to (vi), choose from the same possibilities (a) through (d). (ii) What happens to the brightness of lamp C? (iii) What happens to the current in the battery? (iv) What happens to the potential difference across lamp A? (v) What happens to the potential difference across lamp C? (vi) What happens to the total power delivered to the lamps by the battery?
The 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 1.83 102.2
The resistor R in Figure P28.83 receives 20.0 W of power. Determine the value of R.
A 10 MΩ resistor is connected in series with a 1.0 μF capacitor and a battery with emf 12.0 V. Before the switch is closed at time t=0,the capacitor is uncharged. What fraction of the final charge Qf is on the capacitor at t=10s?
In the figure, suppose the switch has been closed for a length of time sufficiently long for the capacitor to become fully charged. For this circuit, R1 = 12.0 kΩ, R2 = 15.0 kΩ, R3 = 3.000 kΩ, C = 10.0 μF , and emf = 9.00 V. Find (d) the potential differance across R2. (e) the charge on the capacitor.
A battery with emf ε and no internal resistance supplies current to the circuit shown in Figure P27.9.When thee double-throw switch S is ope as shown in the figure,the current in the battery is Io.when the switch is closed in position a the current in the battery is Ia.when the switch is closed in position b,the current in the battery is Ib.Find the resistance (a) R1,(b) R2 and (c) R3 Figure P27.9 problems 9 and 10
During the manufacture of wire, the cross section can be decreased, and the length increased, by pulling the wire through a hole (in what is called a die) that is smaller than the wire’s initial cross-section. If the wire is stretched to 6 times its original length, by what factor does its resistance increase? fR 256 is incorrect