University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 31, Problem 31.56P
A 400-Ω resistor and a 6.00-μF capacitor are connected in parallel to an ac generator that supplies an rms voltage of 180 V at an angular frequency of 360 rad/s. Use the results of Problem 31.54. Note that since there is no inductor in this circuit, the 1/ωL term is not present in the expression for 1/Z. Find (a) the current amplitude in the resistor; (b) the current amplitude in the capacitor; (c) the phase angle of the source current with respect to the source voltage; (d) the amplitude of the current through the generator. (e) Does the source current lag or lead the source voltage?
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The output voltage of an AC generator is given by Δ v = (170 V) sin (60πt). The generator is connected across a 20.0-Ω resistor. By inspection, what are the (a) maximum voltage and (b) frequency? Find the (c) rms voltage across the resistor, (d) rms current in the resistor, (e) maximum current in the resistor, (f) power delivered to the resistor, and (g) current when t = 0.005 0 s. (h) Should the argument of the sine function be in degrees or radians?
Step 1
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"Since you have posted a question with multiple sub-parts, we will solve first three sub parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved."
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GIVEN:
Output voltage, Δv = (170 V) sin (60πt)
Resistance, R = 20.0-Ω
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Step 2 Part (a)
Part (a)
Standard equation can be represented as,
Δv = Vmsin(ωt)
Where, Vm = maximum voltage.
ω = angular frequency.
Compare the given equation with standard equation.
We get, Vm…
Chapter 31 Solutions
University Physics with Modern Physics (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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- Calculate the rms currents for an ac source is given by v(t)=v0sint , where V0=100V and =200rad/s when connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forwardAn ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?arrow_forwardThe emf of an ac source is given by v(t)=V0sint, where V0=100V and =200 . Find an expression that represents the output current of the source if it is connected across (a) a 20-pF capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forward
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