If the magnetic field in a plane electromagnetic wave is given by , then what will be expression for electric field?

JEE MainPhysicsModerateEM wave

If the magnetic field in a plane electromagnetic wave is given
by
$\overset{\rightarrow}{B} = 3 \times 10^{- 8}sin\left( 1.6 \times 10^{3}x + 48 \times 10^{10}t \right)\overset{\hat{}}{j}\ T$ ,
then what will be expression for electric field?

Show answer and solution

\frac{E_{0}}{B_{0}} = C

(speed of light in vacuum)

E_{0} = B_{0}C = 3 \times 10^{- 8} \times 3 \times 10^{8}

= 9 N/C
So,

E = 9\sin\left( 1.6 \times 10^{3}x + 48 \times 10^{10}t \right)

Source: Grass-G / P-13 Physics paper 4 Nov.docx

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