Magnetic field due to currentHard

Question

An electromagnetic wave travelling in the x-direction has frequency of 2 × 1014 Hz and electric field amplitude of 27 Vm-1. From the options given below, which one describes the magnetic field for this wave ?

Options

A.(x, t) = (9 × 10-8 T)ĵ sin [2π(1.5 × 10-6 x − 2 × 1014 t)]
B.(x, t) = (9 × 10-8 T)î sin [2π(1.5 × 10-8 x − 2 × 1014 t)]
C.(x, t) = (9 × 10-8 T) sin [2π(1.5 × 10-6 x − 2 × 1014 t)]
D.(x, t) = (9 × 10-8 T)ĵ sin [2π(1.5 × 10-8 x − 2 × 1014 t)]

Solution

ω = 2π × 2 × 1014 Hz
B0 = = 9 × 10-8 Tesla
Oscillation of B can be only along ĵ or k direction
∴     Option (3)

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