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Question

(A) An electromagnetic wave propagates in the direction of the cross product of the electric field vector and the magnetic field vector,i.e.,$\vec{E}

Vedclass · Accepted Answer

$E_x, B_y$

Vedclass · Answer

(A) An electromagnetic wave propagates in the direction of the cross product of the electric field vector and the magnetic field vector,i.e.,$\vec{E} 	imes \vec{B}$.Given that the direction of propagation is along the $z$-axis,the electric field and magnetic field must lie in the $xy$-plane.Therefore,the electric field vector $\vec{E}$ must have components in the $x$ or $y$ direction,and the magnetic field vector $\vec{B}$ must have components in the $x$ or $y$ direction such that their cross product points in the $z$ direction.Specifically,if $\vec{E}$ is along the $x$-axis $(E_x)$ and $\vec{B}$ is along the $y$-axis $(B_y)$,then $\hat{i} 	imes \hat{j} = \hat{k}$,which corresponds to the $z$-axis.Thus,the pair $(E_x, B_y)$ is a valid configuration.

If the direction of propagation of an electromagnetic wave is along the $z$-axis,then the directions of the electric field $(E)$ and magnetic field $(B)$ are:

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