COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 18, Problem 72QAP
To determine
The time constant for the circuit.
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*45 What multiple of the time constant 7 gives the time
taken by an initially uncharged capacitor in an RC series cir-
cuit to be charged to 99.0% of its final charge? sSM
-/1 E
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In the figure R1= 5.01 Q, R2 = 10.16 Q, R3 = 15.20N, C1 = 5.13 µF, C2 = 10.25 µF, and the ideal battery has emf 8 = 23.4 V. Assuming
that the circuit is in the steady state, what is the total energy stored in the two capacitors?
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87 The circuit of Fig. 27-75 shows a
capacitor, two ideal batteries, two
resistors, and a switch S. Initially S has
been open for a long time. If it is then
closed for a long time, what is the
change in the charge on the capacitor?
Assume C = 10 µF, E, = 1.0 V, 82 = 3.0 Figure 27-75 Problem 87.
V, R = 0.20 0, and R2 = 0.40 N.
R2
Chapter 18 Solutions
COLLEGE PHYSICS
Ch. 18 - Prob. 1QAPCh. 18 - Prob. 2QAPCh. 18 - Prob. 3QAPCh. 18 - Prob. 4QAPCh. 18 - Prob. 5QAPCh. 18 - Prob. 6QAPCh. 18 - Prob. 7QAPCh. 18 - Prob. 8QAPCh. 18 - Prob. 9QAPCh. 18 - Prob. 10QAP
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- Figure 21.55 shows how a bleeder resistor is used to discharge a capacitor after an electronic device is shut off allowing a person to work on the electronics with less risk of shock, (a) What is the time constant? (b) How long will it take to reduce the voltage on the capacitor to 0.250% (5% of 5%) of its full value once discharge begins? (c) If the capacitor is charged to a voltage V0through a 100-O resistance, calculate the time it takes to rise to 0.865V0(This is about two time constants.)arrow_forwardReferring to Figure CQ21.4, describe what happens to the light-bulb after the switch is closed. Assume the capacitor has a large capacitance and is initially uncharged. Also assume the light illuminates when connected directly across the battery terminals.arrow_forwardA heart defibrillator being used on a patient has an RC time constant of 10.0 ms due to the resistance of the patient and the capacitance of the defibrillator. (a) If the defibrillator has an 8.00F capacitance, what is the resistance of the path through the patient? (You may neglect the capacitance of the patient and the resistance of the defibrillator.) (b) If the initial voltage is 12.0 kV, how long does it take to decline to 6.00x102 V?arrow_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_forwardTwo 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).arrow_forwardUnreasonable Results (a) Calculate the capacitance needed to get an RC time constant of 1,00x103 s with a 0.100- resistor, (b) What is unreasonable about this result? (c) Which assumptions are responsible?arrow_forward
- If you wish to take a picture of a bullet traveling at 500 m/s, then a very brief flash of light produced by an EC discharge through a flash tube can limit blurring. Assuming 1.00 mm of motion during one EC constant is acceptable, and given that the flash is driven by a 600F capacitor, what is the resistance in the flash tube?arrow_forwardIn places such as hospital operating rooms or factories for electronic circuit boards, electric sparks must be avoided. A prison standing on a grounded floor and touching nothing else can typically have a body capacitance of 150 pF, in parallel with a foot capacitance of 80.0 pF produced by the dielectric soles of his or her shoes. The person acquires static electric charge from interactions with Ills or her surroundings. The static charge flows to ground through the equivalent resistance of the two shoe soles in parallel with each other. A pair of rubber-soled street shoes can present an equivalent resistance of 5.00 103 M. A pair of shoes with special static-dissipative soles can have an equivalent resistance of 1.00 M. Consider the persons body and shoes as forming an RC circuit with the ground. (a) How long does it take the rubber-soled shoes to reduce a persons potential from 3.00 103 V to 100? (b) How long does it take the static-dissipative shoes to do the same thing?arrow_forwardThe immediate cause of many deaths is ventricular fibrillation, an uncoordinated quivering of the heart, as opposed to proper beating. An electric shock to the chest can cause momentary paralysis of the heart muscle, after which the heart will sometimes start organized beating again. A defibrillator is a device that applies a strong electric shock to the chest over a time of a few milliseconds. The device contains a capacitor of a few microfarads, charged to several thousand volts. Electrodes called paddles, about 8 cm across and coated with conducting paste, are held against the chest on both sides of the heart. Their handles are insulated to prevent injury to the operator, who calls Clear! and pushes a button on one paddle to discharge the capacitor through the patient's chest Assume an energy of 3.00 102 W s is to be delivered from a 30.0-F capacitor. To what potential difference must it be charged?arrow_forward
- A circuit contains a D-cell battery, a switch, a 20- resistor, and three 20-mF capacitors. The capacitors are connected in parallel, and the parallel connection of capacitors are connected in series with the switch, the resistor and the battery, (a) What is die equivalent capacitance of the circuit? (b) What is the KC time constant? (c) How long before the current decreases to 50% of the initial value once the switch is closed?arrow_forwardIntegrated Concepts If you wish to take a picture of a bullet traveling at 500 m/s, then a very brief flash of light produced by an RC discharge through a flash tube can limit blurring. Assuming 1.00 mm of motion during one RC constant is acceptable, and given that the flash is driven by a 600F capacitor, what is the resistance in the flash tube?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
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