Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 27, Problem 49P
(a)
To determine
The magnitude of the magnetic field for
(b)
To determine
The magnitude of the magnetic field for
(c)
To determine
The magnitude of the magnetic field for
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Problem A wire of circular cross-section carries current density that is not uniform but varies with distance from the center asj(r)=j0(1-(r/R)2),for radius r in the range 0 < r < R. Here, j0 is a constant with units amperes per square meter, and the radius of the wire is R = 0.27 mm.
Part (a) Find an expression for the current enclosed in a cylinder with a radius of r < R.
Part (b) If the total current in the wire is I, find an expression for the constant j0, in terms of the other variables in the problem.
Part (c) If the total current is 6.5 A, what is the constant j0, in amperes per square meter?
Part (d) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I.
Part (e) For what r, in meters, is the magnetic field maximized?
Part (f) What is the maximum value of the magnetic field, in tesla?
The figure shows a cross section of a long, conducting coaxial cable of radii a, b and c.
Uniform current density flows through the two conductors such that the total current through
the inner conductor is I and total current through the outer conductor is I. Derive the
expression for B(r) in the regions ra and sketch a plot
of B(r).
The xy-plane serves as the interface between two different media. Medium 1 (z 0) is filled with a material whose
H, = 4. If the interface carries current (1/H) a, mA/m, and B, = 5a, + 8a, mWb/m²,
find H, and B,.
a12 =a,
K
O H1 =6
Chapter 27 Solutions
Physics for Scientists and Engineers
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Ch. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41PCh. 27 - Prob. 42PCh. 27 - Prob. 43PCh. 27 - Prob. 44PCh. 27 - Prob. 45PCh. 27 - Prob. 46PCh. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - Prob. 50PCh. 27 - Prob. 51PCh. 27 - Prob. 52PCh. 27 - Prob. 53PCh. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - Prob. 56PCh. 27 - Prob. 57PCh. 27 - Prob. 58PCh. 27 - Prob. 59PCh. 27 - Prob. 60PCh. 27 - Prob. 61PCh. 27 - Prob. 62PCh. 27 - Prob. 63PCh. 27 - Prob. 64PCh. 27 - Prob. 65PCh. 27 - Prob. 66PCh. 27 - Prob. 67PCh. 27 - Prob. 68PCh. 27 - Prob. 69PCh. 27 - Prob. 70PCh. 27 - Prob. 71PCh. 27 - Prob. 72PCh. 27 - Prob. 73PCh. 27 - Prob. 74PCh. 27 - Prob. 75PCh. 27 - Prob. 76PCh. 27 - Prob. 77PCh. 27 - Prob. 78PCh. 27 - Prob. 79PCh. 27 - Prob. 80PCh. 27 - Prob. 81PCh. 27 - Prob. 82PCh. 27 - Prob. 83PCh. 27 - Prob. 84PCh. 27 - Prob. 85PCh. 27 - Prob. 86PCh. 27 - Prob. 87PCh. 27 - Prob. 88PCh. 27 - Prob. 89PCh. 27 - Prob. 90PCh. 27 - Prob. 91PCh. 27 - Prob. 92PCh. 27 - Prob. 93PCh. 27 - Prob. 94PCh. 27 - Prob. 95PCh. 27 - Prob. 96PCh. 27 - Prob. 97PCh. 27 - Prob. 98P
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