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Answer the Following Question. Prove that the Average Energy Density of the Oscillating Electric Field is Equal to that of the Oscillating Magnetic Field. - Physics

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Numerical

Answer the following question.
Prove that the average energy density of the oscillating electric field is equal to that of the oscillating magnetic field.

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Solution

Energy density in the electric field is `U_E = 1/2ε_0E^2`

Energy density in the magnetic field is `U_B = 1/(2μ_0)B^2`

We know E = Bc

`c = 1/sqrt(ε_0μ_0)`

`U_E = 1/2ε_0(cB)^2 = 1/2ε_0(1/(ε_0μ_0))B^2 = B^2/(2μ_0)`

now, `U_E = U_B`

Concept: Electric Field - Introduction of Electric Field
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