A plane electromagnetic wave of frequency 100 | vedclass

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(C) The magnitude of the electric field $E$ is related to the magnetic field $B$ by the relation $E = B \cdot c$,where $c$ is the speed of light in va

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$6.0 \hat{j} \, V/m$

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(C) The magnitude of the electric field $E$ is related to the magnetic field $B$ by the relation $E = B \cdot c$,where $c$ is the speed of light in vacuum $(c = 3 	imes 10^8 \, m/s)$.Given $B = 2.0 	imes 10^{-8} \, T$,we have $E = (2.0 	imes 10^{-8} \, T) 	imes (3 	imes 10^8 \, m/s) = 6.0 \, V/m$.The direction of propagation of an electromagnetic wave is given by the direction of the vector $\overrightarrow{E} 	imes \overrightarrow{B}$.Here,the wave travels along the $x$-direction $(\hat{i})$,and $\overrightarrow{B}$ is along the $z$-direction $(\hat{k})$.Since $\hat{i} = \hat{j} 	imes \hat{k}$,the electric field $\overrightarrow{E}$ must be along the $y$-direction $(\hat{j})$.Therefore,$\overrightarrow{E} = 6.0 \hat{j} \, V/m$.

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