The electric field for a plane electromagneti | vedclass

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(A) For an electromagnetic wave,the direction of propagation is given by the direction of the vector $\vec E 	imes \vec B$.Given that the wave is tra

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In the $+x$ direction

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(A) For an electromagnetic wave,the direction of propagation is given by the direction of the vector $\vec E 	imes \vec B$.Given that the wave is travelling in the $+y$ direction,we have the direction of propagation as $\hat{j}$.The electric field $\vec E$ is in the $+z$ direction,so $\vec E = E_0 \hat{k}$.Let the magnetic field $\vec B$ be in the direction $\hat{n}$. Then,$\hat{k} 	imes \hat{n} = \hat{j}$.Using the properties of unit vectors ($\hat{i} 	imes \hat{j} = \hat{k}$,$\hat{j} 	imes \hat{k} = \hat{i}$,$\hat{k} 	imes \hat{i} = \hat{j}$),we can see that $\hat{k} 	imes \hat{i} = \hat{j}$.Therefore,the magnetic field $\vec B$ must be in the $+x$ direction.

The electric field for a plane electromagnetic wave travelling in the $+y$ direction is shown. Consider a point where $\vec E$ is in the $+z$ direction. The $\vec B$ field is

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