A plane electromagnetic wave travels in free space along X-direction. If the value of $\vec{B}$ (in tesla) at a particular point in space and time is $1.2 \times 10^{- 8} k$ , the value of $\vec{E} (in V m^{- 1})$ at that point is

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$1.2 \hat{j}$

$3.6 \hat{j}$

$1.2 \hat{k}$

$3.6 \hat{k}$

answer is D.

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Detailed Solution

The magnitude of $\vec{E}$ is given by

$E = Bc = (1.2 \times 10^{- 8} T) (3 \times 10^{8} {ms}^{- 1}) = 3.6 {Vm}^{- 1}$

Since $(+ \hat{j}) \times (+ \hat{k}) = \hat{i}, \vec{E}$ is along the Y-direction.

Thus $\vec{E} = 3.6 \hat{j} {Vm}^{- 1}$

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