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  • Which of the following pairs of space and time varying <img alt="\mathrm{E=\left(\mathrm{i} E_x+\mathrm{j} E_y+\mathrm{k} E_z\right)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm

Which of the following pairs of space and time varying \mathrm{E=\left(\mathrm{i} E_x+\mathrm{j} E_y+\mathrm{k} E_z\right)} and \mathrm{B=\left(\mathrm{i} B_x+\mathrm{j} B_y+\mathrm{k} B_z\right)} would generate a plane electromagnetic wave travelling in the z-direction?
 

Option: 1

\mathrm{E_x, B_z}


Option: 2

\mathrm{E_y, B_z}


Option: 3

\mathrm{E_z, B_x}


Option: 4

\mathrm{E_x, B_y}


Answers (1)

best_answer

Direction of propagation of EM waves is in the direction of cross product of E and B [i.e. ExB]
So, wave is propagating in two direction, then

So, if wave is propagating in two direction, then

                              \mathrm{\mathbf{E}=E_x \mathbf{I} \text { and } \mathbf{B}=B_y \mid}

Then, \mathrm{\mathbf{E} \times \mathbf{B} \text { point in }+z \text {-direction. }}

Posted by

Deependra Verma

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