Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Question
Chapter 30, Problem 56P
(a)
To determine
The induced electric field at a distance from central axis of solenoid.
(b)
To determine
The magnitude and direction of Poynting vector.
(c)
To determine
The flux inside the solenoid.
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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 solenoid with radius a and n turns per unit length carries a time-dependent current I(t) =
Io (1e-at) in the
direction.
1) Find the electric field (magnitude and direction) at time t > 0 and a distances from the
axis of the solenoid (both inside and outside the solenoid), in the quasi-static
approximation.
2) At distance d = 2a from the axis of the solenoid, plot the magnitude of the electric field
as a function of time.
3) Discuss the behavior of the electric field over time.
For a long ideal solenoid having a circular cross-section, the magnetic field strength within the
solenoid is given by the equation B(t) = (2.66)t T, where t is time in seconds. If the induced electric
field outside the solenoid is 0.345 V/m at a distance of 9.1 m from the axis of the solenoid, find the
radius of the solenoid (in cm).
cm
Chapter 30 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10P
Ch. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51PCh. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 30 - Prob. 59P
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