Electromagnetic Induction

JEE Main level, single correct, medium

107 of 153

Question 107 of 153

For the plane electromagnetic wave given by E=E0sin⁡(ωt–kx)E={E}_{0}\sin (\omega t–kx) and B=B0sin⁡(ωt−kx),B={B}_{0}\sin (\omega t-kx), the ratio of average electric energy density to average magnetic energy density is

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Answer: (D) 11

The formula to calculate the average electric energy density is given by
UE=12ϵ0E2...(1){U}_{E}=\dfrac{1}{2}{\epsilon }_{0}{E}^{2}...(1)
and, the formula to calculate average magnetic energy density is given by

UB=12μ0B2...(2){U}_{B}=\dfrac{1}{2{\mu }_{0}}{B}^{2}...(2)
For any particular electromagnetic wave, both magnetic and electric field are equally involved in contributing to energy density. Hence, the ratio of average electric energy density to magnetic energy density is
11.

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