University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 15, Problem 8CQ
The power rating of a resistor used in ac circuits refers to the maximum average power dissipated in the resistor. How does this compare with the maximum instantaneous power dissipated in the resistor?
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An AC voltage source, with a maximum voltage of 200 V, is connected across a 50 Ω resistor. What is the power dissipated in the resistor?
The figure shows the voltage across, and the current through, a resistor that is connected to an AC voltage source.
(a) Find the resistance and the average power dissipated by the resistor.
(b) How many times per second does the power dissipated by the resistor reach its maximum value?
(c) Draw a graph of the power dissipated by the resistor versus time, and a graph of the power dissipated by the resistor versus voltage across the resistor..
An AC voltage source, with a peak output of 200 V, is connected to a 50-W resistor. What is the rate of energy
dissipated due to heat in the resistor?
200 W
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Chapter 15 Solutions
University Physics Volume 2
Ch. 15 - Check Your Understanding If a European ac voltage...Ch. 15 - Check Your Understanding Repeat Example 15.1 for...Ch. 15 - Check Your Understanding Find the voltages across...Ch. 15 - Check Your Understanding An ac voltmeter attached...Ch. 15 - Check Your Understanding Show that the tins...Ch. 15 - Check Your Understanding In the circuit of Figure...Ch. 15 - Check Your Understanding What happens to the...Ch. 15 - Check Your Understanding The resonant angular...Ch. 15 - Check Your Understanding A transformer steps the...Ch. 15 - What is the relationship between frequency and...
Ch. 15 - Explain why at high frequencies a capacitor acts...Ch. 15 - In an RLC series circuit, can the voltage measured...Ch. 15 - For what value of the phase angle between the...Ch. 15 - Discuss the differences between average power and...Ch. 15 - The average ac current delivered to a circuit is...Ch. 15 - Can the instantaneous power output of an ac source...Ch. 15 - The power rating of a resistor used in ac circuits...Ch. 15 - Why do transmission lines operate at very hig1...Ch. 15 - How can you distinguish the primary winding from...Ch. 15 - Battery packs in some electronic devices are...Ch. 15 - Will a transformer work if the input is a dc...Ch. 15 - Why are the primary and secondary coils of a...Ch. 15 - Write an expression for the output voltage of an...Ch. 15 - Calculate the reactance of a 5.0F capacitor at (a)...Ch. 15 - What is the capacitance of a capacitor whose...Ch. 15 - Calculate the reactance of a 5.0-mH inductor at...Ch. 15 - What is the self-inductance of a coil whose...Ch. 15 - At s1iat frequency is the reactance of a 20F...Ch. 15 - At 1000 Hz, the reactance of a 5.0-mH inductor is...Ch. 15 - A 50resistor is connected across the emf...Ch. 15 - A 25F capacitor is connected to an emf given by...Ch. 15 - A 100-mH inductor is connected across the emf of...Ch. 15 - What is the impedance of a series combination of a...Ch. 15 - A resistor and capacitor are connected in series...Ch. 15 - A resistor and inductor are connected in series...Ch. 15 - In an RLC series circuit, the voltage amplitude...Ch. 15 - An PLC series circuit with R=600 , L = 30 mH. and...Ch. 15 - For the cucu3t shown below, what are (a) the total...Ch. 15 - The emf of an ac source is given by v(t)=v0sint....Ch. 15 - Calculate the rms currents for an ac source is...Ch. 15 - A 40-mH inductor is connected to a 60-Hz AC source...Ch. 15 - For an RLC series circuit, the voltage amplitude...Ch. 15 - An ac source of voltage amplitude 10 V delivers...Ch. 15 - An RLC series circuit has an impedance of 60 and a...Ch. 15 - Calculate the resonant angular freqency of an RLC...Ch. 15 - The resonant frequency of RLC series circuits is...Ch. 15 - (a) What is the resonant frequency of an RLC...Ch. 15 - For an RLC series circuit, R=100 , L = 150 mH, and...Ch. 15 - An ac source of voltage amplitude 100 V and...Ch. 15 - (a) What is the resonant frequency of a resistor,...Ch. 15 - Suppose a coil has a self-inductance of 20.0 H and...Ch. 15 - An ac generator is connected to a device whose...Ch. 15 - A step-up transformer is designed so that the...Ch. 15 - A step-up transformer connected to a 100-V line U...Ch. 15 - An ac source of emf delivers 5.0 mW of power at an...Ch. 15 - A transformer is used to down 110 V from a wall...Ch. 15 - A transformer is used to supply a 12-V model train...Ch. 15 - The emf of an ac source is given by v(t)=V0sint,...Ch. 15 - A 700-pF capacitor is connected across an ac...Ch. 15 - A 20-mH inductor is connected across an AC source...Ch. 15 - A 30F capacitor is connected across a 60-Hz ac...Ch. 15 - A 7.0-mH induct is connected across a 60-Hz ac...Ch. 15 - What is the impedance of an RLC series circuit at...Ch. 15 - What is the resistance R in the circuit shown...Ch. 15 - An ac source of voltage amplitude 100 V and...Ch. 15 - In an RLC series circuit, R=200,L=1.0H ,...Ch. 15 - A power plant generator produces 100 A at 15 kV...Ch. 15 - Consider a power plant located 25 km outside a...Ch. 15 - Neon signs require 12-kV for their operation. A...Ch. 15 - The 335-kV ac electricity from a power...Ch. 15 - A 1.5k resistor and 30-mH inductor are connected...Ch. 15 - A 20 resistor, 50F capacitor, and 30-mH inductor...Ch. 15 - A 200- resistor, 150- F capacitor, and 23-H...Ch. 15 - Find the reactances of the following capacitors...Ch. 15 - An output impedance of an audio amplifier has an...Ch. 15 - Show that the SI unit for capacitive reactance is...Ch. 15 - A coil with a self-inductance of 16 mH and a...Ch. 15 - An RLC series circuit consists of a 50 resistor, a...Ch. 15 - An RLC series circuit consists of a 10 resistor,...Ch. 15 - Shown below are two circuits that act as crude...Ch. 15 - The two circuits shown below act as crude low-pass...
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- The average ac current delivered to a circuit is zero. Despite this, power is dissipated in the circuit. Explain.arrow_forwardWrite an expression for the output voltage of an ac source that has an amplitude of 12 V and a frequency of 200 Hz.arrow_forward(a) What is the resistance of a 220-V AC short circuit that generates a peak power of 96.8 kW? (b) What would the average power be if the average power be if the voltage was 120 V AC?arrow_forward
- Consider the RC high-pass filler circuit shown in Figure P33.53. (a) Find an expression for the ratio of the amplitude of the output volt age to that of the input voltage in terms of R, C, and the AC source frequency . (b) What value does this ratio approach as the frequency decreases toward zero? (c) What value does this ratio approach as the frequency increases without limit?arrow_forward(a) What is the resistance of a 220-V ac short circuit that generates a peak power of 96.8 kW? (b) What would the average power be if the voltage were 120 V ac?arrow_forwardAn AC generator with an rms emf of 15.0 V is connected in series with a 0.54-H inductor. The frequency of the source emf is 70.0 Hz. Draw a phasor diagram for this circuit, including the current, the potential difference across the inductor, and the source emf. Draw your diagram with the current phasor pointing toward the right along the horizontal axis.arrow_forward
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- Find the reactances of the following capacitors and inductors in ac circuits with the given frequencies in each case: (a) 2-mH inductor with a frequency 60-Hz of the ac circuit; (b) 2-mM Inductor with a frequency 600-Hz of the ac circuit; (C) 20-mM inductor with a frequency 6-Hz of the ac circuit; (d) 20-mM inductor with a frequency 60-Hz of the ac circuit; (e) 2-mF capacitor with a frequency 60-Hz of the ac circuit; and (f) 2-mF capacitor with a frequency 600-Hz of the AC circuit.arrow_forwardAn AC voltage source, with a peak output of 200 V, is connected to a 50-W resistor. What is the effective (or rms) current in the circuit? 2.8 A 4.0 A O 5.6 A 2.0 Aarrow_forward
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