The magnetic field in the plane electromagnetic wave is given byBz=2×10-7sin0.5×103x+1.5×1011t teslaThe expression for electric field will be
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a
Ez=302 sin 0.5×103x+1.5×1011tV/m
b
Ez=60 sin 0.5×103x+1.5×1011tV/m
c
Ey=302 sin 0.5×1011x+0.5×103tV/m
d
Ey=60 sin 0.5×103x+1.5×1011tV/m
answer is D.
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Detailed Solution
Wave is propagating along positive X-axis; magnetic field is directed along Z-axis so electric field must be directed alongk∧×i∧=j∧ along Y-axis.Amplitude of electric fieldE0=B0c=2×10-7×3×108=60 V/m