Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
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
(b)
To determine
The mutual inductance characterizing the emf induced in
(c)
To determine
The way in which the results of part (a) and part (b) can be compared.
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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.
PLS ANSWER WITHIN 10MINS
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
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 with Modern Physics
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 - Prob. 3PCh. 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 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 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 - Prob. 31PCh. 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 - Prob. 36APCh. 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 - Prob. 42APCh. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Prob. 47APCh. 31 - Prob. 48APCh. 31 - Prob. 49APCh. 31 - Prob. 50CPCh. 31 - Prob. 51CPCh. 31 - Prob. 52CPCh. 31 - Prob. 53CP
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- b' ε A solenoid has a length = 11.34 cm, a radius a = 1.85 cm, and 1627 turns. The solenoid has a net resistance R sol = 144.9 2. A circular loop with radius b = 3.77 cm is placed around the solenoid, such that it lies in a plane whose normal is aligned with the solenoid axis, and the center of the outer loop lies on the solenoid axis. The outer loop has a resistance Ro = 1651.6 2. At a time t = 0 s, the solenoid is connected to a battery that supplies a potential & = 34.95 V. At a time t = 2.58 μs, what current flows through the outer loop? Ax 1.4e-5 14x10-5arrow_forwardIn one form of Tesla coil (a high-voltage generator popular in science museums), a long solenoid with length l and cross-sectional area A is closely wound with N1 turns of wire. A coil with N2 turns surrounds it at its center. Find the mutual inductance M.arrow_forwardA solenoid of radius 1.70 cm has 560 turns and a length of 25.0 cm. (a) Find its inductance. X You may have made an error in converting units or in keeping track of exponents. mH (b) Find the rate at which current must change through it to produce an emf of 90.0 mV. (Enter the magnitude.) A/sarrow_forward
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