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