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  • An electromagnetic wave travels along  -axis which of the following pair of space and time v

An electromagnetic wave travels along \mathrm{z} -axis which of the following pair of space and time varing fields would generate such a wave?

Option: 1

\mathrm{E_x, E_y}


Option: 2

\mathrm{E_y, B_x }


Option: 3

\mathrm{E_2, B_x}


Option: 4

\mathrm{E_y, B_z}


Answers (1)

best_answer

Since\mathrm{\overrightarrow{\nabla} \times \overrightarrow{E}=-\frac{\partial \vec{B}}{\partial t}}

\mathrm{d \nabla \rightarrow i \hat{k}}

\mathrm{i \hat{k} \times \overrightarrow{E}=-\frac{\partial \overrightarrow{R}}{\partial t}}

As direction of propagation is along \mathrm{z} axes, \mathrm{E}  must be in \mathrm{\hat{y}}  direction so that
\mathrm{ \hat{z} \times \hat{y}=-\hat{x} }

\mathrm{ i \hat{k} \hat{z} \times \overrightarrow{E} y \hat{y}=-\frac{\partial \overrightarrow{B}}{\partial t} \times \hat{x} }
\mathrm{ \Rightarrow \quad E_y }  and  \mathrm{ B_x } .

Posted by

avinash.dongre

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