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A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is \text{E}=6 \mathrm{~V} \mathrm{~m}^{-1} along the y direction. Its corresponding magnetic field component, B would be

Option: 1

6 \times 10^{-8} \mathrm{~T} \text { along the } \mathrm{x} \text {-direction }


Option: 2

2 \times 10^{-8} \mathrm{~T} \text { along the } \mathrm{y} \text {-direction }


Option: 3

2 \times 10^{-8} \mathrm{~T} \text { along the } \mathrm{z} \text {-direction }


Option: 4

6 \times 10^{-8} \mathrm{~T} \text { along the } \mathrm{z} \text {-direction }


Answers (1)

best_answer

The direction of electromagnetic wave travelling is given by

\mathrm{\bar{k}=\bar{E} \times \bar{B}}

As the wave is travelling along x-direction and E is along the y-direction.

So B must point towards the z-direction.

The magnetic field, \mathrm{B=E / c=6 /\left(3 \times 10^8\right)=2 \times 10^{-8} \mathrm{~T}}

 

Posted by

Nehul

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