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Q.

The magnetic field in the plane electromagnetic field is given by :
By=2×107sin0.5×103z+1.5×1011tT 
The expression for the electric field may be given by:
 

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a

Ex=2×107sin0.5×103z+1.5×1011tV/m

b

Ey=2×107sin0.5×103z+1.5×1011tV/m

c

Ex=60sin0.5×103z+1.5×1011tV/m

d

Ey=60sin0.5×103z+1.5×1011tV/m

answer is D.

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Detailed Solution

 By=2×107sin0.5×103z+1.5×1011tT
The electric vector is perpendicular to B as will direction of Propagation of electromagnetic wave. Therefore Ex has to be taken further EoB0×c       or
 = 2×107×3×108 V/m        
or =E0=2×107×3×108=60 V/m
 the corresponding value of the electric field is, Ex=60sin0.5×103z+1.5×1011tV/m 
Hence the correct answer is option (d).
 

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