Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 31, Problem 27P
(a)
To determine
The mutual inductance characterizing the emf induced in S 2
(b)
To determine
The mutual inductance characterizing the emf induced in S 1
(c)
To determine
The way in which the results of part (a) and part (b) can be compared.
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For a toroidal solenoid, suppose the number of turns is 291, the area is 4.89 cm 2, and the radius is 8.43 cm. The current in the toroidal solenoid increases uniformly from 0 A to 1.37 A in 3.28 us. Find the magnitude of the self-induced emf.
Final answer should be in two (2) decimal places.
For the final answer, express the unit in symbols. For example:
5.00 Kelvin should be expressed as 5.00 K
Solenoid S1 has N1 turns, radius R1, and length ℓ. It is so long that its magnetic field is uniform nearly everywhere inside it and is nearly zero outside. Solenoid S2 has N2 turns, radius R2 < R1, and the same length as S1. It lies inside S1, with their axes parallel. (a) Assume S1 carries variable current i. Compute the mutual inductance characterizing the emf induced in S2. (b) Now assume S2 carries current i. Compute the mutual inductance to which the emf in S1 is proportional. (c) State how the results of parts (a) and (b) compare with each other.
Two solenoids A and B, spaced close to each other and sharing the same cylindrical axis, have 320 and 690 turns, respectively. A current of 3.40 A in solenoid A produces an average flux of 300 ?Wb through each turn of A and a flux of 90.0 ?Wb through each turn of B.
(a) Calculate the mutual inductance of the two solenoids. mH(b) What is the inductance of A? mH(c) What is the magnitude of the emf that is induced in B when the current in A changes at the rate of 0.500 A/s? mV
Chapter 31 Solutions
Physics for Scientists and Engineers
Ch. 31.1 - A coil with zero resistance has its ends labeled a...Ch. 31.2 - Prob. 31.2QQCh. 31.3 - Prob. 31.3QQCh. 31.4 - Prob. 31.4QQCh. 31.5 - (i) At an instant of time during the oscillations...Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - An emf of 24.0 mV Ls induced in a 500-turn coil...Ch. 31 - Prob. 4PCh. 31 - Prob. 5P
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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