Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Question
Chapter 27, Problem 97P
(a)
To determine
The proof that current produced is
(b)
To determine
The proof that magnetic field strength at center of disk is
(c)
To determine
The expression for magnetic field strength at a point on the central axis.
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In the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10).
Half-space z <0 is from a material with relative magnetic permeability µr = 5.
1. Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0).
2.Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-2, -4,0-) of the vector magnetic field H⃗[A / m] in terms of the given magnitudes (in the half-space z <0).
In the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10).
Half-space z <0 is from a material with relative magnetic permeability µr = 5.
Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0).
We worked out the multiple expansion for the vector potential of a line current because that's the
most common type, and in some respects the easiest to handle. For a volume current J:
a) Write down the multipole expansion, analogous to the equation
µol
A(r) =
4л
1
dľ =
1
for.
' Pn (cos 0') dľ',
L pn+1
47
n=0
b) Write down the multipole expansion, and prove that it vanishes.
c) Using the equation
a =
r x dl, and
m = I i da = la.
Show that the dipole moment can be
written as
m =
(r x J) dt.
Chapter 27 Solutions
Physics for Scientists and Engineers
Ch. 27 - Prob. 1PCh. 27 - Prob. 2PCh. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10P
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