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The magnetic field in a plane electromag...

The magnetic field in a plane electromagnetic wave is given by, `B=(200 muT) sin [(4.0 xx 10^(15) s^(-1)) (t-x/c)]` Find the average energy density corresponding to the electric field.

A

`0.008 J//m^3`

B

`0.08 J//m^3`

C

`0.8 J//m^3`

D

`8.008 J//m^3`

Text Solution

Verified by Experts

The correct Answer is:
A
Average energy density corresponding to electric and magnetic field is equal is given by
`u_(av)=1/4 epsi_(0) E_(0)^2=B_(0)^2/(4 mu_(0)) therefore u_(av)=((200 xx 10^(-6))^2)/(4(4pi xx 10^(-7))=0.008 J//m^3`
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