Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 28, Problem 2CQ
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The circuit shown in the figure consists of ideal batteries ?1 =20V and ?2 =20V, resistors ? =600Ω, ?1 =600Ω and initially uncharged two capacitors with capacitances ?1 = ?2 =10mF. The circuit is completed when switch S is closed at time t=0. Use the loop rules and the relationship between the charging current i and the charge q of the capacitors
a) to obtain a differential equation that allows you to determine how the charge q of thecapacitors varies with time.b) What are the capacitor charges if the switch S is closed for a long time?c) Find the current through the battery ?1 at time t = 3 s after the switch closes.
Problem 4:
In the circuit above S is initially open and the capacitors C1 and C2 are initially uncharged.
a) Find the current through the R₁ = 100 resistor immediately after the switch is closed.
Answer: 0.08 A.
b) Find the current through the R₁ = 100 resistor a long time after the switch has been
closed. Answer: I = 0 A.
c) Find the charge Q₁ on the capacitor C₁ and the charge Q2 on the capacitor C₂ a long
time after the switch has been closed. Answer: Q₁ = 120 μC and Q₂ = 60 μС.
R₁ = 100
V = 12 V
R₂ = 100
C1
= 10 μF
Ω
www
R3 = 100 C₂ = 5 µF
80
4. The capacitors in the figure on the right are charged and the
switch closes at t=0 s. At what time has the current in the
8.00-2 resistor decayed to half the value it had immediately
after the switch was closed?
60 uF
20 uF
30 0
(AVeh = 10 V
20 0
60 uF
Chapter 28 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 28.1 - To maximize the percentage of the power from the...Ch. 28.2 - With the switch in the circuit of Figure 27.4a...Ch. 28.2 - With the switch in the circuit of Figure 27.6a...Ch. 28.2 - Prob. 28.4QQCh. 28.4 - Consider the circuit in Figure 27.17 and assume...Ch. 28 - Prob. 1OQCh. 28 - Prob. 2OQCh. 28 - Prob. 3OQCh. 28 - Prob. 4OQCh. 28 - Prob. 5OQ
Ch. 28 - Prob. 6OQCh. 28 - Prob. 7OQCh. 28 - Prob. 8OQCh. 28 - Prob. 9OQCh. 28 - Prob. 10OQCh. 28 - Prob. 11OQCh. 28 - Prob. 12OQCh. 28 - Prob. 13OQCh. 28 - Prob. 14OQCh. 28 - Prob. 15OQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Why is it possible for a bird to sit on a...Ch. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQCh. 28 - Prob. 8CQCh. 28 - Is the direction of current in a battery always...Ch. 28 - Prob. 10CQCh. 28 - Prob. 1PCh. 28 - Two 1.50-V batterieswith their positive terminals...Ch. 28 - An automobile battery has an emf of 12.6 V and an...Ch. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Why is the following situation impossible? A...Ch. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - The following equations describe an electric...Ch. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - An uncharged capacitor and a resistor are...Ch. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - A 10.0-F capacitor is charged by a 10.0-V battery...Ch. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - A charged capacitor is connected to a resistor and...Ch. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54APCh. 28 - Prob. 55APCh. 28 - Prob. 56APCh. 28 - Prob. 57APCh. 28 - Why is the following situation impossible? A...Ch. 28 - Prob. 59APCh. 28 - Prob. 60APCh. 28 - When two unknown resistors are connected in series...Ch. 28 - Prob. 62APCh. 28 - Prob. 63APCh. 28 - A power supply has an open-circuit voltage of 40.0...Ch. 28 - Prob. 65APCh. 28 - Prob. 66APCh. 28 - Prob. 67APCh. 28 - Prob. 68APCh. 28 - Prob. 69APCh. 28 - Prob. 70APCh. 28 - Prob. 71APCh. 28 - Prob. 72APCh. 28 - A regular tetrahedron is a pyramid with a...Ch. 28 - An ideal voltmeter connected across a certain...Ch. 28 - Prob. 75APCh. 28 - Prob. 76APCh. 28 - Prob. 77APCh. 28 - Prob. 78APCh. 28 - Prob. 79APCh. 28 - Prob. 80APCh. 28 - Prob. 81APCh. 28 - Prob. 82CPCh. 28 - Prob. 83CP
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