Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31, Problem 1P
To determine

The average induced emf in the circuit for the given time interval.

Expert Solution & Answer
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Answer to Problem 1P

The average induced emf for the given time interval is 100V .

Explanation of Solution

Given Info: The inductance of the given inductor is 2.00H , steady current is 0.500A and time interval is 10.0ms .

Formula to calculate induced emf is,

ε=Ldidt (1)

Here,

ε is the induced emf in the circuit.

L is the inductance of inductor.

didt is the rate of change in the current.

Negative sign indicates the induced emf is opposite to the direction of current.

The expression for the rate of change of current is,

didt=i2i1t (2)

Substitute 0.500A for i2 , 0A for i1 , 10ms for t . in equation (2).

didt=0.500A0A10ms

didt=0.500A10ms(103s1ms)=0.500A10×103s=50A/s

Substitute 2.00H for L and 50A/s for didt in equation (1) to calculate induced emf.

ε=Ldidt=2.00H×50A/s=100V

Conclusion:

Therefore, the induced emf in the inductor during the given time interval is 100V .

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Chapter 31 Solutions

Physics for Scientists and Engineers

Ch. 31 - A toroid has a major radius R and a minor radius r...Ch. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10PCh. 31 - Prob. 11PCh. 31 - Show that i = Iiet/ is a solution of the...Ch. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - The switch in Figure P31.15 is open for t 0 and...Ch. 31 - Prob. 17PCh. 31 - Two ideal inductors, L1 and L2, have zero internal...Ch. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Complete the calculation in Example 31.3 by...Ch. 31 - Prob. 23PCh. 31 - A flat coil of wire has an inductance of 40.0 mH...Ch. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - In the circuit of Figure P31.29, the battery emf...Ch. 31 - Prob. 30PCh. 31 - An LC circuit consists of a 20.0-mH inductor and a...Ch. 31 - Prob. 32PCh. 31 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 31 - Prob. 34PCh. 31 - Electrical oscillations are initiated in a series...Ch. 31 - Review. Consider a capacitor with vacuum between...Ch. 31 - A capacitor in a series LC circuit has an initial...Ch. 31 - Prob. 38APCh. 31 - Prob. 39APCh. 31 - At the moment t = 0, a 24.0-V battery is connected...Ch. 31 - Prob. 41APCh. 31 - You are working on an LC circuit for an experiment...Ch. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Review. The use of superconductors has been...Ch. 31 - Review. A fundamental property of a type 1...Ch. 31 - Prob. 49APCh. 31 - In earlier times when many households received...Ch. 31 - Assume the magnitude of the magnetic field outside...Ch. 31 - Prob. 52CPCh. 31 - Prob. 53CP
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