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5a: The magnetic ﬁeld of an electromagnetic wave is described by
Eu, 1:) = 10-63m(1o5z — wt)(—:‘1‘:)(T) Determine the electric ﬁeld completely. b: What is the distance from one wave peak to another wave peak? c: Determine the Poynting vector. (‘1: Determine the spatial gradient of the magnetic ﬁeld (5%) at z = 10‘4m and t = 10‘135.
e: Determine the maximum time rate of change of the electric ﬁeld (which would be the
same at any point in space). f: A proton with velocity 17 = 107:2 + 2 x 10713 + 3 x 1072 (m/s) is at a point in space where
E and 3' are both at maximum strength and 3 points in the i direction. Determine the
magnitude and direction of the net force on the proton.

The solution is... View the full answer

5
Q . B ( 2, t ) = 10 sin ( 1052 - not ) (- OF ) T - Bo Sin ( k2-Wot ) (- 2 )
VXB -
Bo =LU-G T
K = 105
my .
Bo
- sin( kz - wt ) 0 0
- BO XX ( 0 - 0 ) + 7 ( - kees ( k 2 - WE ) - 0 ) + 2
0-0 )
=...

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