Loose Leaf For Engineering Electromagnetics
Loose Leaf For Engineering Electromagnetics
9th Edition
ISBN: 9781260472370
Author: John A. Buck, William H. Hayt
Publisher: McGraw-Hill Education
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Chapter 9, Problem 9.19P

In Section 9.1. Faraday’s law was used to show that the field E = -1_2kB0ekt pa∅ results from the changing magnetic field B = B0 ektaz. (a) Show that these fields do not satisfy Maxwell’s other curl equation. (b) If we let B0 = 1 T and k = 106 s-1 , we are establishing a fairly large magnetic flux density in 1 fis. Use the V x H equation to show that the rate at which Bz should (but does not) change with p is only about 5 Ă— 10 T per meter in free space at t = 0.

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The magnetic flux density in all of space is given by   B=(3z)ax+(8x2−x2y)ay+(y+x2z)az Wb/m2.   Let S denote the paraboloidal surface defined by   y=x2+z2,0≤y≤64.   Find the net magnetic flux Φ passing through S in the direction away from the xz-plane.   Hint: Think about whether there is another way to solve this, such as by using a capping surface.
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