College Physics: A Strategic Approach (4th Edition)
College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 26, Problem 1CQ

Identical resistors are connected to separate 12 V AC sources. One source operates at 60 Hz, the other at 120 Hz. In which circuit, if either, does the resistor dissipate the greater average power?

Expert Solution & Answer
Check Mark
To determine
Which circuit dissipates more average power.

Answer to Problem 1CQ

The power dissipated in both circuits is same.

Explanation of Solution

The expression to find the average power dissipated by a resistor in an AC circuit is given as follows.

PR=(Vrms)2R (1)

Here,

PR is the power dissipated in a resistance,

Vrms is the rms voltage, and

R is the resistance circular path of radius.

The rms voltage value of 60 Hz AC source and 120 Hz AC source is 12 V.

From (1), it can be defined that the average power dissipation is directly proportional to square of the rms voltage and does not depend on the operating frequency. So, the average power dissipation remains constant irrespective of frequency changes with same rms voltage.

Therefore, the average power dissipated by a resistor in both circuits (a circuit with 60 Hz AC source and a circuit with 120 Hz Ac source) is same.

Conclusion:

Hence, the power dissipated in both circuits is same.

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Chapter 26 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 26 - Prob. 11CQCh. 26 - Prob. 12CQCh. 26 - The peak current through a capacitor is 2.0 A....Ch. 26 - Prob. 14CQCh. 26 - Prob. 16CQCh. 26 - Figure Q26.17 shows two inductors and the...Ch. 26 - The peak current passing through an inductor is...Ch. 26 - Consider the four circuits in Figure Q26.19. Rank...Ch. 26 - Prob. 20CQCh. 26 - The resonance frequency of a driven RLC circuit is...Ch. 26 - Consider the four circuits in Figure Q26.22. They...Ch. 26 - Prob. 23MCQCh. 26 - An inductor is connected to an AC generator. As...Ch. 26 - A capacitor is connected to an AC generator. As...Ch. 26 - An AC source is connected to a series combination...Ch. 26 - An AC source is connected to a series combination...Ch. 26 - The circuit shown in Figure Q26.28 has a resonance...Ch. 26 - At resonance, a driven RLC circuit has VC = 5.0 V,...Ch. 26 - A driven RLC circuit has VC = 5.0V, VR = 7.0 V,...Ch. 26 - A 200 resistor is connected to an AC source with...Ch. 26 - Figure P26.2 shows voltage and current graphs for...Ch. 26 - A resistor dissipates 2.00 W when the rms voltage...Ch. 26 - The heating element of a hair dryer dissipates...Ch. 26 - A toaster oven is rated at 1600 W for operation at...Ch. 26 - Prob. 6PCh. 26 - A generator produces 40 MW of power and sends it...Ch. 26 - Soles of hoots that are designed to protect...Ch. 26 - The primary coil of a transformer is connected to...Ch. 26 - Prob. 10PCh. 26 - A power pack charging a cell phone battery has an...Ch. 26 - A neon sign transformer has a 450 W AC output with...Ch. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - A generator produces 250 kW of electric power at...Ch. 26 - In an old house, the wires leading lo a 120 V...Ch. 26 - A typical American family uses 1000 kWh of...Ch. 26 - Prob. 18PCh. 26 - The following appliances are connected to a single...Ch. 26 - Prob. 20PCh. 26 - A 60 W (120 V) night light is turned on for an...Ch. 26 - Prob. 22PCh. 26 - The manufacturer of an electric table saw claims...Ch. 26 - John is changing a lightbulb in a lamp, Its a warm...Ch. 26 - In some countries AC outlets near bathtubs are...Ch. 26 - If you touch the terminal of a battery, the small...Ch. 26 - A person standing barefoot on the ground 20 m from...Ch. 26 - A fisherman has netted a torpedo ray. As he picks...Ch. 26 - Problems 30 and 31 concern a high-voltage...Ch. 26 - Problems 30 and 31 concern a high-voltage...Ch. 26 - A 0.30 F capacitor is connected across an AC...Ch. 26 - A 20 F capacitor is connected across an AC...Ch. 26 - The peak current through a capacitor is 10.0 mA....Ch. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - The peak current through a capacitor is 8.0 mA...Ch. 26 - Prob. 38PCh. 26 - A 20 mH inductor is connected across an AC...Ch. 26 - Prob. 40PCh. 26 - A 500 H inductor is connected across an AC...Ch. 26 - An inductor is connected to a 15 kHz oscillator...Ch. 26 - The peak current through an inductor is 12.5 mA...Ch. 26 - A 2.0 mH inductor is connected in parallel with a...Ch. 26 - An FM radio station broadcasts at a frequency of...Ch. 26 - The inductor in the RLC tuning circuit of an AM...Ch. 26 - At what frequency f do a 1.0 F capacitor and a 1.0...Ch. 26 - What capacitor in series with a 100 resistor and...Ch. 26 - What inductor in series with a 100 resistor and a...Ch. 26 - A series RLC circuit has a 200 kHz resonance...Ch. 26 - An RLC circuit with a 10 F capacitor is connected...Ch. 26 - Prob. 52PCh. 26 - A series KLC circuit consists of a 280 resistor,...Ch. 26 - Prob. 54PCh. 26 - Electric outlets in England are 230 V. Alice...Ch. 26 - Prob. 56GPCh. 26 - Prob. 57GPCh. 26 - The voltage across a 60 F capacitor is described...Ch. 26 - Prob. 59GPCh. 26 - An electronics hobbyist is building a radio set to...Ch. 26 - Prob. 61GPCh. 26 - Prob. 62GPCh. 26 - An RLC circuit consists of a 48 resistor, a 200 F...Ch. 26 - Cell Membrane Resistance The capacitance of...Ch. 26 - Cell Membrane Resistance The capacitance of...Ch. 26 - Cell Membrane Resistance The capacitance of...Ch. 26 - Cell Membrane Resistance The capacitance of...Ch. 26 - Halogen Bulbs Halogen bulbs have some differences...Ch. 26 - Halogen Bulbs Halogen bulbs have some differences...Ch. 26 - Halogen Bulbs Halogen bulbs have some differences...Ch. 26 - Halogen Bulbs Halogen bulbs have some differences...
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