University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
14th Edition
ISBN: 9780134265414
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 31, Problem 31.47P
A High-Pass Filter. One application of L-R-C series circuits is to high-pass or low-pass filters, which filter out cither the low- or high-frequency components of a signal. A high-pass filter is shown in Fig. P31.47, where the output voltage is taken across the L-R combination. (The L-R combination represents an inductive coil that also has resistance due to the large length of wire in the coil.) Derive an expression for Vout/Vs, the ratio of the output and source voltage amplitudes, as a function of the angular frequency ω of the source. Show that when ω is small, this ratio is proportional to ω and thus is small, and show that the ratio approaches unity in the limit of large frequency.
Figure P31.47
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One application of L-R-C series circuits is to high-pass or low-pass filters, which filter out either the low- or high-frequency components of a signal. A high-pass filter is shown in Fig, where the output voltage is taken across the L-R combination. (The L-R combination represents an inductive coil that also has resistance due to the large length of wire in the coil.) Derive an expression for Vout/Vs, the ratio of the output and source voltage amplitudes, as a function of the angular frequency ω of the source. Show that when ω is small, this ratio is proportional to ω and thus is small, and show that the ratio approaches unity in the limit of large frequency.
An oscillating LC circuit consisting of a 2.0 nF capacitor and a 1.0 mH coil has a maximum voltage of 4.0 V. What is the maximum charge on the capacitor?
Chapter 31 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Ch. 31.1 - The accompanying figure shows four different...Ch. 31.2 - An oscillating voltage of fixed amplitude is...Ch. 31.3 - Rank the following ac circuits in order of their...Ch. 31.4 - Prob. 31.4TYUCh. 31.5 - How does the resonance frequency of an L-R-C...Ch. 31.6 - Each of the following four transformers has 1000...Ch. 31 - Household electric power in most of western Europe...Ch. 31 - The current in an ac power line changes direction...Ch. 31 - In an ac circuit, why is the average power for an...Ch. 31 - Equation (31.14) was derived by using the...
Ch. 31 - Prob. 31.5DQCh. 31 - Equation (31.9) says that ab = L di/dt (see Fig....Ch. 31 - Is it possible for the power factor of an L-R-C...Ch. 31 - In an L-R-C series circuit, can the instantaneous...Ch. 31 - In an L-R-C series circuit, what are the phase...Ch. 31 - When an L-R-C series circuit is connected across a...Ch. 31 - Prob. 31.11DQCh. 31 - A light bulb and a parallel-plate capacitor with...Ch. 31 - A coil of wire wrapped on a hollow tube and a...Ch. 31 - A circuit consists of a light bulb, a capacitor,...Ch. 31 - A circuit consists of a light bulb, a capacitor,...Ch. 31 - Prob. 31.16DQCh. 31 - An ideal transformer has N1, windings in the...Ch. 31 - An inductor, a capacitor, and a resistor are all...Ch. 31 - You want to double the resonance angular frequency...Ch. 31 - Prob. 31.1ECh. 31 - A sinusoidal current i = I cos t has an rms value...Ch. 31 - The voltage across the terminals of an ac power...Ch. 31 - A capacitor is connected across an ac source that...Ch. 31 - An inductor with L = 9.50 mH is connected across...Ch. 31 - A capacitance C and an inductance L are operated...Ch. 31 - Kitchen Capacitance. The wiring for a refrigerator...Ch. 31 - (a) Compute the reactance of a 0.450-H inductor at...Ch. 31 - (a) What is the reactance of a 3.00-H inductor at...Ch. 31 - A Radio Inductor. You want the current amplitude...Ch. 31 - A 0.180-H inductor is connected in series with a...Ch. 31 - A 250- resistor is connected in series with a...Ch. 31 - A 150- resistor is connected in series with a...Ch. 31 - You have a 200- resistor, a 0.400-H inductor, and...Ch. 31 - The resistor, inductor, capacitor, and voltage...Ch. 31 - Prob. 31.16ECh. 31 - In an L-R-C series circuit, the rms voltage across...Ch. 31 - A resistor with R = 300 and an inductor are...Ch. 31 - The power of a certain CD player operating at 120...Ch. 31 - In an L-R-C series circuit, the components have...Ch. 31 - (a) Show that for an L-R-C series circuit the...Ch. 31 - (a) Use the results of part (a) of Exercise 31.21...Ch. 31 - An L-R-C series circuit with L = 0.120 H, R = 240...Ch. 31 - An L-R-C series circuit is connected to a 120-Hz...Ch. 31 - A series ac circuit contains a 250- resistor, a...Ch. 31 - In an L-R-C series circuit the source is operated...Ch. 31 - Analyzing an L-R-C Circuit. You have a 200-...Ch. 31 - An L-R-C series circuit is constructed using a...Ch. 31 - In an L-R-C series circuit, R = 300, L = 0.400 H,...Ch. 31 - An L-R-C series circuit consists of a source with...Ch. 31 - In an L-R-C series circuit, R = 150 , L = 0.750 H,...Ch. 31 - In an L-R-C series circuit, R = 400 , L = 0.350 H,...Ch. 31 - In an L-R-C series circuit, L = 0.280 H and C =...Ch. 31 - Section 31.6 Transformers 31.34Off to Europe! You...Ch. 31 - A Step-Down Transformer. A transformer connected...Ch. 31 - A Step-Up Transformer. A transformer connected to...Ch. 31 - A coil has a resistance of 48.0 . At a frequency...Ch. 31 - Prob. 31.38PCh. 31 - An L-R-C series circuit has C = 4.80 F, L = 0.520...Ch. 31 - Five infinite-impedance voltmeters, calibrated to...Ch. 31 - CP A parallel-plate capacitor having square plates...Ch. 31 - Prob. 31.42PCh. 31 - A series circuit has an impedance of 60.0 and a...Ch. 31 - A large electromagnetic coil is connected to a...Ch. 31 - In an L-R-C series circuit, R = 300 , XC = 300 ,...Ch. 31 - At a frequency 1, the reactance of a certain...Ch. 31 - A High-Pass Filter. One application of L-R-C...Ch. 31 - A Low-Pass Filter. Figure P31.48 shows a low-pass...Ch. 31 - An L-R-C series circuit is connected to an ac...Ch. 31 - An L-R-C series circuit is connected to an ac...Ch. 31 - In an L-R-C series circuit the magnitude of the...Ch. 31 - In an L-R-C series circuit, the phase angle is...Ch. 31 - An L-R-C series circuit has R = 500 . L = 2.00 H,...Ch. 31 - The L-R-C Parallel Circuit. A resistor, an...Ch. 31 - The impedance of an L-R-C parallel circuit was...Ch. 31 - A 400- resistor and a 6.00-F capacitor are...Ch. 31 - An L-R-C series circuit consists of a 2.50-F...Ch. 31 - An L-R-C series circuit has R = 60.0 , L = 0.800...Ch. 31 - In an L-R-C series circuit, the source has a...Ch. 31 - In an L-R-C series ac circuit, the source has a...Ch. 31 - A resistance R, capacitance C, and inductance L...Ch. 31 - The Resonance Width. Consider an L-R-C series...Ch. 31 - An L-R-C series circuit draws 220 W from a 120-V...Ch. 31 - DATA A coworker of yours was making measurements...Ch. 31 - DATA You are analyzing an ac circuit that contains...Ch. 31 - DATA You are given this table of data recorded for...Ch. 31 - CALC In an L-R-C series circuit the current is...Ch. 31 - CALC (a) At what angular frequency is the voltage...Ch. 31 - Prob. 31.69PPCh. 31 - If the electrode oscillates between two points 20...Ch. 31 - The signal from the oscillating electrode is fed...Ch. 31 - If the frequency at which the electrode is...
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