# 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

Numerical

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

#### 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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