The electric field of a plane electromagnetic wave propagating along the \(x\) direction in vacuum is \(\overrightarrow{ E }= E _{0} \hat{ j } \cos (\omega t - kx )\). The magnetic field \(\overrightarrow{ B },\) at the moment \(t =0\) is :

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Correct Answer

(C) \(\overrightarrow{ B }= E _{0} \sqrt{\mu_{0} \epsilon_{0}} \cos ( kx ) \hat{ k }\)

Step-by-step Solution

Detailed explanation

\(\therefore \overrightarrow{ B }(\hat{ k })\)

\(\Rightarrow \overrightarrow{ B }= B _{0} \cos ( wt - kx ) \hat{ k }\)

Now put \(t=0\)

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