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Q.

A plane electromagnetic wave of frequency 25MHz  travels in free space along the x-direction . At a particular point in the space and time, if the intensity of electric field E=6.3j^ V/m, the magnetic induction B at this point is
 

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a

2.1×104k^ T

b

2.1×106k^ T

c

2.1×108k^ T

d

2.1×103k^ T

answer is C.

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Detailed Solution

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1. Given
Wave Frequency  =25 MHz
Intensity of Electric Field E¯=6.3j^ V/m
The magnitude of the magnetic field is given by
B=Ec=6.33×108=2.1×108 T. 
2. The vector  E×B should be along  x-direction, and so
j^×A^=i^,  indicates that  A^=k^.
Thus,  B=2.1×108k^ T.
Therefore, the correct answer is (C).
 

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A plane electromagnetic wave of frequency 25MHz  travels in free space along the x-direction . At a particular point in the space and time, if the intensity of electric field E→=6.3j^ V/m, the magnetic induction B→ at this point is