Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 33, Problem 5OQ
To determine
The true statement.
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In the circuit shown below, S1 is opened and S2 is closed simultaneously. Determine (a) the frequency of the resulting oscillations, (b) the maximum charge on the capacitor, (c) the maximum current through the inductor, and (d) the electromagnetic energy of the oscillating circuit.
The frequency of the oscillations is________Hz.
The maximum charge on the capacitor is_________×10−6 C
The maximum current through the inductor is________mA.
The electromagnetic energy of the oscillating circuit is__________mJ.
The switch in the figure below is connected to position a for a long time interval. Att = 0, the switch is thrown to position b. After this time, what are the following? (Let C = 1.50 µF.)
10.0 Q
0.100 H
a
ll
+
12.0 V
C
(a) the frequency of oscillation of the LC circuit
Hz
(b) the maximum charge that appears on the capacitor
(c) the maximum current in the inductor
mA
(d) the total energy the circuit possesses at t = 3.00 s
charge and the current (i) is zero, then P= 0. If q =0 at time t
=0, then =±n/2.
Example:
A 300-V dc power supply is used to charge a 25-µF capacitor. After the capacitor is fully charged, it is disconnected from
the power supply and connected across a 10-mH inductor. The resistance in the circuit is negligible. (a) Find the frequency
and period of oscillation of the circuit. (b) Find the capacitor charge and the circuit current 1.2 ms after the inductor and
capacitor are connected. Then find for the magnetic and electric energies (c) at and (d) at t = 1.2 ms.
Given:
C = 25 x 106 F
L = 10 x 103 H
t = 1.2 x 103 s
(c) Solving for magnetic (UB) and electric (UE) energies
at time t =0.
Solution:
(7.5 x 10-3 C)?
(a) Solving for angular frequency (w)and period (T)
Ug =Li? = 0
Ug =
2C
- 1.1 J
2(25 x 10-6 F)
1
= 2.03 x 10° rad/s
(10 x 10-3H)(25 x 10¬°F)
(d) Solving for magnetic (UB) and electric (UE)
energies at time t =1.2 ms.
2. 03 х 103 Рad
Ug = }Li² = }(10 × 10-3 H)(-10 A)² = 0.5 J
f
= 320…
Chapter 33 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 33.2 - Consider the voltage phasor in Figure 32.4, shown...Ch. 33.3 - Consider the AC circuit in Figure 32.8. The...Ch. 33.4 - Consider the AC circuit in Figure 32.11. The...Ch. 33.4 - Consider the AC circuit in Figure 32.12. The...Ch. 33.5 - Label each part of Figure 32.16, (a), (b), and...Ch. 33.6 - Prob. 33.6QQCh. 33.7 - Prob. 33.7QQCh. 33 - Prob. 1OQCh. 33 - Prob. 2OQCh. 33 - Prob. 3OQ
Ch. 33 - Prob. 4OQCh. 33 - Prob. 5OQCh. 33 - Prob. 6OQCh. 33 - Prob. 7OQCh. 33 - A resistor, a capacitor, and an inductor are...Ch. 33 - Under what conditions is the impedance of a series...Ch. 33 - Prob. 10OQCh. 33 - Prob. 11OQCh. 33 - Prob. 12OQCh. 33 - Prob. 13OQCh. 33 - Prob. 1CQCh. 33 - Prob. 2CQCh. 33 - Prob. 3CQCh. 33 - Prob. 4CQCh. 33 - Prob. 5CQCh. 33 - Prob. 6CQCh. 33 - Prob. 7CQCh. 33 - Prob. 8CQCh. 33 - Prob. 9CQCh. 33 - Prob. 10CQCh. 33 - Prob. 1PCh. 33 - (a) What is the resistance of a lightbulb that...Ch. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10PCh. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - An AC source has an output rms voltage of 78.0 V...Ch. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - An AC source with an output rms voltage of 86.0 V...Ch. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - Prob. 22PCh. 33 - What is the maximum current in a 2.20-F capacitor...Ch. 33 - Prob. 24PCh. 33 - In addition to phasor diagrams showing voltages...Ch. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - Prob. 28PCh. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - A 60.0-ft resistor is connected in series with a...Ch. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - A series RLC circuit has a resistance of 45.0 and...Ch. 33 - Prob. 36PCh. 33 - Prob. 37PCh. 33 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - Prob. 41PCh. 33 - A series RLC circuit has components with the...Ch. 33 - Prob. 43PCh. 33 - Prob. 44PCh. 33 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 33 - Prob. 46PCh. 33 - Prob. 47PCh. 33 - Prob. 48PCh. 33 - The primary coil of a transformer has N1 = 350...Ch. 33 - A transmission line that has a resistance per unit...Ch. 33 - Prob. 51PCh. 33 - Prob. 52PCh. 33 - Prob. 53PCh. 33 - Consider the RC highpass filter circuit shown in...Ch. 33 - Prob. 55PCh. 33 - Prob. 56PCh. 33 - Prob. 57APCh. 33 - Prob. 58APCh. 33 - Prob. 59APCh. 33 - Prob. 60APCh. 33 - Prob. 61APCh. 33 - Prob. 62APCh. 33 - Prob. 63APCh. 33 - Prob. 64APCh. 33 - Prob. 65APCh. 33 - Prob. 66APCh. 33 - Prob. 67APCh. 33 - Prob. 68APCh. 33 - Prob. 69APCh. 33 - (a) Sketch a graph of the phase angle for an RLC...Ch. 33 - Prob. 71APCh. 33 - Prob. 72APCh. 33 - A series RLC circuit contains the following...Ch. 33 - Prob. 74APCh. 33 - Prob. 75APCh. 33 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 33 - Prob. 77CPCh. 33 - Prob. 78CPCh. 33 - Prob. 79CPCh. 33 - Figure P33.80a shows a parallel RLC circuit. The...Ch. 33 - Prob. 81CP
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