Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 34, Problem 51PQ
To determine
The magnitude of Poynting vector.
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The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B at r < a, a < r < b, and r > b.
Calculate the Poynting vector S in the cable.
a long, straight copper wire (diameter 2.50 mm and resistance 1.00 ohm per 300 m) carries a uniform current of 25.0 A in the positive x direction. For point P on the wire’s surface, calculate the magnitudes of (a) the electric field , (b) the magnetic field , and (c) the Poynting vector , and (d) determine the direction of S.
A cylindrical solenoid of radius R and height h consists of N windings. There is a current through the windings, and this current increases with time as I=αt, where α is a constant.
b. Determine the magnitude of the Poynting vector at a radial distance r=R from the center of the long center axis of the solenoid. Express your answer in terms of magnetic constant μ0, α, R, h, N and t.
c. Use the result of the previous part to derive an expression for the power input to the solenoid as a function of time. Express your answer in terms of π, magnetic constant μ0, α, R, h, N and t.
d. Using the formula for the inductance of an ideal solenoid, calculate the power from the rate of change of the stored magnetic energy. Express your answer in terms of π, magnetic constant μ0, α, R, h, N and t.
Chapter 34 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 34.1 - Prob. 34.1CECh. 34.2 - Prob. 34.2CECh. 34.4 - The electric part of an electromagnetic wave is...Ch. 34.5 - Prob. 34.4CECh. 34.5 - Prob. 34.5CECh. 34.6 - Prob. 34.6CECh. 34.8 - Prob. 34.7CECh. 34 - Prob. 1PQCh. 34 - Prob. 2PQCh. 34 - A circular coil of radius 0.50 m is placed in a...
Ch. 34 - Prob. 4PQCh. 34 - A solenoid with n turns per unit length has radius...Ch. 34 - Prob. 6PQCh. 34 - Prob. 7PQCh. 34 - Prob. 8PQCh. 34 - Prob. 9PQCh. 34 - Prob. 10PQCh. 34 - Prob. 11PQCh. 34 - Prob. 12PQCh. 34 - Prob. 13PQCh. 34 - Prob. 14PQCh. 34 - Prob. 15PQCh. 34 - Prob. 16PQCh. 34 - Prob. 17PQCh. 34 - Prob. 18PQCh. 34 - Prob. 19PQCh. 34 - Prob. 20PQCh. 34 - Ultraviolet (UV) radiation is a part of the...Ch. 34 - Prob. 22PQCh. 34 - What is the frequency of the blue-violet light of...Ch. 34 - Prob. 24PQCh. 34 - Prob. 25PQCh. 34 - Prob. 26PQCh. 34 - WGVU-AM is a radio station that serves the Grand...Ch. 34 - Suppose the magnetic field of an electromagnetic...Ch. 34 - Prob. 29PQCh. 34 - Prob. 30PQCh. 34 - Prob. 31PQCh. 34 - Prob. 32PQCh. 34 - Prob. 33PQCh. 34 - Prob. 34PQCh. 34 - Prob. 35PQCh. 34 - Prob. 36PQCh. 34 - Prob. 37PQCh. 34 - Prob. 38PQCh. 34 - Prob. 39PQCh. 34 - Prob. 40PQCh. 34 - Prob. 41PQCh. 34 - Prob. 42PQCh. 34 - Prob. 43PQCh. 34 - Prob. 44PQCh. 34 - Prob. 45PQCh. 34 - Prob. 46PQCh. 34 - Prob. 47PQCh. 34 - Prob. 48PQCh. 34 - Prob. 49PQCh. 34 - Prob. 50PQCh. 34 - Prob. 51PQCh. 34 - Prob. 52PQCh. 34 - Optical tweezers use light from a laser to move...Ch. 34 - Prob. 54PQCh. 34 - Prob. 55PQCh. 34 - Prob. 57PQCh. 34 - Prob. 58PQCh. 34 - Prob. 59PQCh. 34 - Prob. 60PQCh. 34 - Some unpolarized light has an intensity of 1365...Ch. 34 - Prob. 62PQCh. 34 - Prob. 63PQCh. 34 - Prob. 64PQCh. 34 - Unpolarized light passes through three polarizing...Ch. 34 - The average EarthSun distance is 1.00 astronomical...Ch. 34 - Prob. 67PQCh. 34 - Prob. 68PQCh. 34 - Prob. 69PQCh. 34 - Prob. 70PQCh. 34 - Prob. 71PQCh. 34 - Prob. 72PQCh. 34 - Prob. 73PQCh. 34 - Prob. 74PQCh. 34 - CASE STUDY In Example 34.6 (page 1111), we...Ch. 34 - Prob. 76PQCh. 34 - Prob. 77PQCh. 34 - Prob. 78PQCh. 34 - Prob. 79PQCh. 34 - Prob. 80PQCh. 34 - Prob. 81PQCh. 34 - Prob. 82PQCh. 34 - Prob. 83PQCh. 34 - In Section 34-1, we summarized classical...
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