Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 28, Problem 74EAP
The capacitors in FIGURE P28.74 are charged and the switch closes at
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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?
A resistor, an uncharged capacitor, a dc voltage source, and an open switch are all connected in series. The switch is closed at time t = 0 s. What is the charge on the capacitor after two time constants compared to the maximum charge?
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Assume the capacitor to be fully discharged before the switch closes to position 1 at t=0:
D. Determine equations for Ic(t) and Vc(t) in position 1.
After a long time (i.e. >5 T, capacitor fully charged) the switch is moved to position 2:
E. Determine equations for Ic(t) and Vc(t) in position 2.
F. Provide a sketch of Ic(t) and Vc(t) for both cycles. Please label accordingly.
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Chapter 28 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 28 - Rank in order, from largest to smallest, the...Ch. 28 - The tip of a flashlight bulb is touching the top...Ch. 28 - The wire is broken on the right side of the...Ch. 28 - The circuit of FIGURE Q28.4 has two resistors,...Ch. 28 - The circuit of FIGURE Q28.5 has two resistors,...Ch. 28 - Rank in order, from largest to smallest, the...Ch. 28 - Are the two resistors in FIGURE Q28.7 in series or...Ch. 28 - A battery with internal resistance r is connected...Ch. 28 - Initially bulbs A and B in FIGURE Q28.9 are...Ch. 28 - Bulbs A. B, and C in FIGURE Q28.1O axe identical,...
Ch. 28 - Bulbs A and B in FIGURE Q28.11 are identical, and...Ch. 28 - Prob. 12CQCh. 28 - FIGURE Q28.13 shows the voltage as a function of...Ch. 28 - Prob. 1EAPCh. 28 - Draw a circuit diagram for the circuit of FIGURE...Ch. 28 - Prob. 3EAPCh. 28 - Prob. 4EAPCh. 28 - a. What are the magnitude and direction of the...Ch. 28 - What is the magnitude of the potential difference...Ch. 28 - Prob. 7EAPCh. 28 - Prob. 8EAPCh. 28 - A 60 W lightbulb and a 100 W lightbulb are placed...Ch. 28 - Prob. 10EAPCh. 28 - The five identical bulbs in FIGURE EX2B.11 are all...Ch. 28 - Prob. 12EAPCh. 28 - Prob. 13EAPCh. 28 - A typical American family uses kWh of electricity...Ch. 28 - A waterbed heater uses 450 W of power. It is on 25...Ch. 28 - Prob. 16EAPCh. 28 - Prob. 17EAPCh. 28 - Prob. 18EAPCh. 28 - 19. The voltage across the terminals of a V...Ch. 28 - Prob. 20EAPCh. 28 - Prob. 21EAPCh. 28 - 22. Two of the three resistors in FIGURE EX28.22...Ch. 28 - What is the value of resistor R in FIGURE EX28.23?Ch. 28 - Prob. 24EAPCh. 28 - What is the equivalent resistance between points a...Ch. 28 - What is the equivalent resistance between points a...Ch. 28 - Prob. 27EAPCh. 28 - Prob. 28EAPCh. 28 - Prob. 29EAPCh. 28 - Prob. 30EAPCh. 28 - Prob. 31EAPCh. 28 - Prob. 32EAPCh. 28 - Prob. 33EAPCh. 28 - What is the time constant for the discharge of the...Ch. 28 - A 10F capacitor initially charged to 20C is...Ch. 28 - Prob. 36EAPCh. 28 - Prob. 37EAPCh. 28 - A capacitor is discharged through a resistor. The...Ch. 28 - Prob. 39EAPCh. 28 - 40. A refrigerator has a 1000 W compressor, but...Ch. 28 - Prob. 41EAPCh. 28 - An electric eel develops a potential difference...Ch. 28 - You have a resistor, a resistor, a resistor, and a...Ch. 28 - A 2.0 -m-long, 1.0 -mm-diameter wire has a...Ch. 28 - What is the equivalent resistance between points a...Ch. 28 - What are the emf and internal resistance of the...Ch. 28 - A string of holiday lights can be wired in series,...Ch. 28 - The circuit shown in FIGURE P28.48 is inside a 15...Ch. 28 - Suppose you have resistors 2.5,3.5, and 4.5 and a...Ch. 28 - A lightbulb is in series with a resistor. The...Ch. 28 - Prob. 51EAPCh. 28 - Prob. 52EAPCh. 28 - Prob. 53EAPCh. 28 - Prob. 54EAPCh. 28 - What are the battery current Ibatand the potential...Ch. 28 - A battery is a voltage source, always providing...Ch. 28 - A circuit you’re building needs an ammeter that...Ch. 28 - For the circuit shown in FIGURE P28.58, find the...Ch. 28 - For the circuit shown in FIGURE P28.59, find the...Ch. 28 - For the circuit shown in FIGURE P28.60, find the...Ch. 28 - What is the current through the 20 resistor in...Ch. 28 - For the circuit shown in FIGURE P28.62, find the...Ch. 28 - What is the current through the 10 resistor in...Ch. 28 - For what emf does the 200 resistor in FIGURE...Ch. 28 - Prob. 65EAPCh. 28 - Prob. 66EAPCh. 28 - Prob. 67EAPCh. 28 - II A circuit you're using discharges a 20F...Ch. 28 - A 150F defibrillator capacitor is charged to 1500V...Ch. 28 - Prob. 70EAPCh. 28 - A 0.25F capacitor is charged to 50 V. It is then...Ch. 28 - Prob. 72EAPCh. 28 - Prob. 73EAPCh. 28 - The capacitors in FIGURE P28.74 are charged and...Ch. 28 - Prob. 75EAPCh. 28 - Prob. 76EAPCh. 28 - Prob. 77EAPCh. 28 - Prob. 78EAPCh. 28 - Prob. 79EAPCh. 28 - Prob. 80EAPCh. 28 - Prob. 81EAPCh. 28 - Prob. 82EAP
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- Figure P18.37 shows a simplified model of a cardiac defibrillator, a device used to patients in ventricular fibrillation. When the switch S is toggled to the left, the capacitor C charges through the resistor R .When the switch is toggled to the right, the capacitor discharges current through the patients torso, modeled as the resistor Rtorso, allowing the hearts normal rhythm to be reestablished. (a) If the capacitor is initially uncharged with C = 8.00 F and = 1250 V, find the value of R required to charge the capacitor to a voltage of 775 V in 1.50 s. (b) If the capacitor is then discharged across the patients torso with, Rtorso = 1250 , calculate the voltage across the capacitor after 5.00 ms. Figure P18.37arrow_forwardThe- pair of capacitors in Figure P28.63 are fully charged by a 12.0-V battery. The battery is disconnected, and the switch is then closed. Alter 1.00 ms has elapsed, (a) how much charge remains 011 the 3.00-F capacitor? (b) How much charge remains on the 2.00-F capacitor? (c) What is the current in the resistor at this time?arrow_forward(a) What is the average power output of a heart defibrillator that dissipates 400 J of energy in 10.0 ms? (b) Considering the high-power output, why doesn’t the defibrillator produce serious bums?arrow_forward
- A 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_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_forwardIn Figure P29.81, N real batteries, each with an emf and internal resistance r, are connected in a closed ring. A resistor R can be connected across any two points of this ring, causing there to be n real batteries in one branch and N n resistors in the other branch. Find an expression for the current through the resistor R in this case.arrow_forward
- A battery with = 6.00 V and no internal resistance supplies current to the circuit shown in Figure P27.9. When the double-throw switch S is open as shown in the figure, the current in the battery is 1.00 mA. When the switch is closed in position a, the current in the battery is 1.20 mA. When the switch is closed in position b, the current in the battery is 2.00 mA. Find the resistances (a) R1, (b) R2, and (c) R3. Figure P27.9 Problems 9 and 10.arrow_forwardIn 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_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
- What is the equivalent resistance between points a and b of the six resistors shown in Figure P29.70? FIGURE P29.70arrow_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_forwardIntegrated Concepts (a) What energy is dissipated by a lightning bolt having a 20,000-A current, a voltage of 1.00102 MV, and a length of 1.00 ms? (b) What mass of tree sap could be raised from 18.0°C to its boiling point and then evaporated by this energy, assuming sap has the same thermal characteristics as water?arrow_forward
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