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
2.1×10−4k^ T
b
2.1×10−6k^ T
c
2.1×10−8k^ T
d
2.1×10−3k^ T
answer is C.
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Detailed Solution
1. GivenWave Frequency =25 MHzIntensity of Electric Field E¯=6.3j^ V/mThe magnitude of the magnetic field is given byB=Ec=6.33×108=2.1×10−8 T. 2. The vector E→×B→ should be along x-direction, and soj^×A^=i^, indicates that A^=k^.Thus, B→=2.1×10−8k^ T.Therefore, the correct answer is (C).