Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 28, Problem 75AP
(a)
To determine
The steady state current in each resistor.
(b)
To determine
The maximum charge on the capacitor.
(c)
To determine
The equation for the current in the resistor
(d)
To determine
The time interval for the charge to fall to one fifth its initial value.
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In Figure P28.67, suppose the switch has been closed for a length of time sufficiently long for the capacitor to become fully charged. (E = 8.50 V, r1 = 10 kN, and r2 = 16 kN.)
10.0 µF
3.00 k2
Figure P28.67
(a) Find the steady-state current in each resistor.
I1 = 1.32
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. µA
I2 = 4.32
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. µA
I3-ko = 0
HA
(b) Find the charge Q on the capacitor.
8.83
Your response differs from the correct answer by more than 10%. Double check your calculations. µC
(c) The switch is opened at t = 0. Write an equation for the current IR, in R, as a function of time.
O (327 µA)e-t/(0.190 s)
O (275 µA)et/(0.190 s)
O (275 µA)e-t/(0.190 s)
O (327 µA)et/(0.190 s)
(d) Find the time that it takes for the charge on the capacitor to fall to one-fifth its initial…
In Figure P28.67, suppose the switch has been closed for a length of time sufficiently long for the capacitor to become fully charged. (E = 8.50 V, r1 = 10 kN, and r2 = 16 kN.)
10.0 µF
3.00 k2
Figure P28.67
(a) Find the steady-state current in each resistor.
I = 327
HA
I2 = 327
HA
13-kn = 0
HA
(b) Find the charge Q on the capacitor.
52
(c) The switch is opened at t = 0. Write an equation for the current IR, in R2 as a function of time.
O (327 HA)e-t/(0.190 s)
O (275 µA)et/(0.190 s)
O (275 µA)e-t/(0.190 s)
O (327 µA)et/(0.190 s)
(d) Find the time that it takes for the charge on the capacitor to fall to one-fifth its initial value.
ms
Problem 8: A capacitor of capacitance C-10 uF has been charged so that the
potential difference between its plates is Vo 380 V. The capacitor is then connected to a
resistor of resistance R-6.5 k2. The switch S is closed, and the capacitor begins to
discharge
Randomized Variables
Vo 380 V
Otheexpertta.com
Δ
Part (a) Calculate the time constant of the circuit in seconds.
tan()
cos0)
cotanasin) acos(0
atan() acotan sinh()
cosh)tanh cotanh)
O Degrees O Radians
sin
HOME
4 5 6
0
BACKSPACE
CLEAR
Submit
Hint
I give up!
Hints: 1%, deduction per hint. Hints remaining: 2
Feedback: 1% deduction per feedback.
a Part (b) Calculate the charge Qo on the capacitor before the switch is closed, in
coulombs.
Part (c) Calculate the current Io immediately after the switch is closed, in amperes.
. Part (d) Calculate the potential difference VC in volts between the capacitor plates at
time t - 5.0 ms after the switch is closed
A Part (e) Calculate the time T in s after which the charge on the capacitor has…
Chapter 28 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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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- A real battery with internal resistance 0.500 and emf 9.00 V is used to charge a 50.0-F capacitor. A 10.0- resistor is put in series with the battery and the capacitor when charging. a. What is the time constant for this circuit? b. What is the time when the capacitor has reached half its maximum charge? c. What is the current through the capacitor at this time?arrow_forwardV + R w с The switch in the figure is thrown so that the battery is in series with the resistor and an uncharged capacitor. After 1.9 time constants, what is the charge on the capacitor in terms of the maximum charge, Qo? Supply the missing numerical factor below. Q(1.9T) = ( )Qoarrow_forwardA 2.00-nF capacitor with an initial charge of 5.38 µC is discharged through a 1.34-k2 resistor. (a) Calculate the magnitude of the current in the resistor 9.00 us after the resistor is connected across the terminals of the capacitor. (b) What charge remains on the capacitor after 8.00 us? µC (c) What is the maximum current in the resistor? Aarrow_forward
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- A capacitor of capacitance C = 1 μF has been charged so that the potential difference between its plates is V0 = 295 V. The capacitor is then connected to a resistor of resistance R = 11.5 kΩ. The switch S is closed, and the capacitor begins to discharge. Calculate the potential difference VC in volts between the capacitor plates at time t = 5.0 ms after the switch is closed.arrow_forwardA 2.00-nF capacitor with an initial charge of 5.08 ?C is discharged through a 1.37-kΩ resistor. (a) Calculate the magnitude of the current in the resistor 9.00 ?s after the resistor is connected across the terminals of the capacitor.mA(b) What charge remains on the capacitor after 8.00 ?s??C(c) What is the maximum current in the resistor?Aarrow_forwardAn uncharged capacitor and a resistor are connected in series to a battery as shown in Figure, where e= 12.0 V, C = 5.00 mF, and R = 8.00 × 105 W. The switch is thrown to position a. Find the time constant of the circuit, the maximum charge on the capacitor, the maximum current in the circuit, and the charge and current as functions of time.arrow_forward
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