Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 32, Problem 7P
To determine
The current in the inductor at t = 15.5 ms
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Consider an inductor with L = 15 mH and a resistor with R = 3 kΩ. At what frequency is the reactance of the inductor equal to the resistance of this resistor?
A resistor (R = 1 Ω), inductor (L = 0.1 H) and capacitor (C = 0.1 F) are connected in series, and the current I(t) through the circuit is measured as shown in the image below
Assuming that the capacitor is uncharged at t = 0, and that the circuit is electrically small (such that propagation times between components can be neglected), find (or approximate where necessary) for times t = [0 : 0.1 : 0.4] (i.e. do not calculate at t = 0.5):
1) The voltage VR(t) across the resistor, where VR(t) = I(t) · R.
A 15.00 µF capacitor, labeled as C below, is charged to 175.0 µC at time t = 0. At t = 0, the capacitor is connected across the ends of a 5.00 mH inductor represented by symbol L. The diagram below shows the system just after the fully charged capacitor C is connected to inductor L. The current I just begins to flow at t = 0, reducing the charge Q on the right plate.
(a) What is the angular frequency ω of the charge oscillations in the capacitor after the above connection is made?
(b) Find the maximum current IMAX.
(c) What is the value of charge Q on the right plate when the current I reaches the maximum value IMAX?
Chapter 32 Solutions
Physics for Scientists and Engineers
Ch. 32.2 - Consider the voltage phasor in Figure 32.4, shown...Ch. 32.3 - Consider the AC circuit in Figure 32.8. The...Ch. 32.4 - Consider the AC circuit in Figure 32.11. The...Ch. 32.4 - Consider the AC circuit in Figure 32.12. The...Ch. 32.5 - Label each part of Figure 32.16, (a), (b), and...Ch. 32.6 - An AC source drives an RLC circuit with a fixed...Ch. 32.7 - What is the impedance of a series RLC circuit at...Ch. 32 - (a) What is the resistance of a lightbulb that...Ch. 32 - A certain lightbulb is rated at 60.0 W when...Ch. 32 - The current in the circuit shown in Figure P32.3...
Ch. 32 - Figure P32.4 shows three lightbulbs connected to a...Ch. 32 - In the AC circuit shown in Figure P32.3, R = 70.0 ...Ch. 32 - In a purely inductive AC circuit as shown in...Ch. 32 - Prob. 7PCh. 32 - A 20.0-mH inductor is connected to a North...Ch. 32 - An AC source has an output rms voltage of 78.0 V...Ch. 32 - Review. Determine the maximum magnetic flux...Ch. 32 - A 1.00-mF capacitor is connected to a North...Ch. 32 - An AC source with an output rms voltage of 86.0 V...Ch. 32 - What is the maximum current in a 2.20-F capacitor...Ch. 32 - A capacitor C is connected to a power supply that...Ch. 32 - In addition to phasor diagrams showing voltages...Ch. 32 - An AC source with Vmax = 150 V and f = 50.0 Hz is...Ch. 32 - You are working in a factory and have been tasked...Ch. 32 - Prob. 18PCh. 32 - An RLC circuit consists of a 150- resistor, a...Ch. 32 - A 60.0-ft resistor is connected in series with a...Ch. 32 - A series RLC circuit has a resistance of 45.0 and...Ch. 32 - Prob. 22PCh. 32 - A series RLC circuit has a resistance of 22.0 and...Ch. 32 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 32 - The LC circuit of a radar transmitter oscillates...Ch. 32 - A series RLC circuit has components with the...Ch. 32 - You wish to build a series RLC circuit for a...Ch. 32 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 32 - A resistor R, inductor L, and capacitor C are...Ch. 32 - The primary coil of a transformer has N1 = 350...Ch. 32 - A person is working near the secondary of a...Ch. 32 - A transmission line that has a resistance per unit...Ch. 32 - Prob. 33APCh. 32 - A 400- resistor, an inductor, and a capacitor are...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - A transformer may be used to provide maximum power...Ch. 32 - Show that the rms value for the sawtooth voltage...Ch. 32 - Marie Cornu, a physicist at the Polytechnic...Ch. 32 - A series RLC circuit has resonance angular...Ch. 32 - Review. One insulated conductor from a household...Ch. 32 - (a) Sketch a graph of the phase angle for an RLC...Ch. 32 - Prob. 43APCh. 32 - Review. In the circuit shown in Figure P32.44,...Ch. 32 - You have decided to build your own speaker system...Ch. 32 - A series RLC circuit is operating at 2.00 103 Hz....Ch. 32 - You are trying to become a member of the Physics...Ch. 32 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 32 - The resistor in Figure P32.49 represents the...Ch. 32 - An 80.0- resistor and a 200-mH inductor are...Ch. 32 - Prob. 51CP
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