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A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. The peak value of the Electric Field is 60 V/m. Which among the following is the acceptable magnetic field component in the electromagnetic wave ?

 (1)  vector B = 2 x 10–7 sin(1.5 x 102 x + 0.5 x 1011t) j  

(2)  vector B = 60 sin(0.5 x 103 x + 1.5 × 1011t) k

(3)  vector B = 2 x 10–7 sin(0.5 x 103 z + 1.5 × 1011t) i  

(4)  vector B = 2 x 10–7 sin(0.5 x 103 z – 1.5 × 1011t) i

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Correct option  (4)  vector B = 2 x 10–7 sin(0.5 x 103 z – 1.5 × 1011t) i

Explanation:

 Since the wave is propagating in positive z-direction So acceptable magnetic field component will be 

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