A plane electromagnetic wave has the magnetic field given by k B(x,y,z,t) = Bo sin a [(x + 1) = /25 + w²] k wt √2 where k is the wave number and 1, 3 and k are the Cartesian unit vectors in x, y and z directions, respectively. The electric field Ē(x, y, z, t) corresponding to the above wave is given by (a) cBo sin [(x + y) + wt] 0-2) + wt] (+2) (b) cBo sin [(x + y) (c) cBo sin [(x + y)½ + wt] i (d) cBo sin (x+y)+wt| 3

University Physics Volume 2
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Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 49P: A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude...
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A plane electromagnetic wave has the magnetic field given by

B~ (x, y, z, t) = B0 sin 
(x + y)k√2+ ωtˆk

where k is the wave number and ˆi, ˆj and ˆk are the Cartesian unit vectors in x, y
and z directions, respectively.
The electric field E~ (x, y, z, t) corresponding to the above wave is given by

A plane electromagnetic wave has the magnetic field given by
k
B(x, y, z, t) = B, sin [(x + y) √2 + wt] k
where k is the wave number and 1,3 and k are the Cartesian unit vectors in x, y
and z directions, respectively.
The electric field E(x, y, z, t) corresponding to the above wave is given by
(a) cBo sin [(x + y)
+ wt] (-2)
(b) cBo sin [(x + y)
+ wt] (i+1)
î i
(c) cBo sin
[(x+y)+wt
(d) cBo sin [(x + y)2 + wt] 3
Transcribed Image Text:A plane electromagnetic wave has the magnetic field given by k B(x, y, z, t) = B, sin [(x + y) √2 + wt] k where k is the wave number and 1,3 and k are the Cartesian unit vectors in x, y and z directions, respectively. The electric field E(x, y, z, t) corresponding to the above wave is given by (a) cBo sin [(x + y) + wt] (-2) (b) cBo sin [(x + y) + wt] (i+1) î i (c) cBo sin [(x+y)+wt (d) cBo sin [(x + y)2 + wt] 3
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