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The electric field of a plane electromagnetic wave varies with time of amplitude $2 V m^{- 1}$ propagating along z-axis. The average energy density of the magnetic field is( in $J m^{- 3}$ )

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13.29×10−12

4.43×10−12

17.72×10−12

8.85×10−12

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detailed solution

Correct option is D

Average energy density of magnetic field=(Brms)22μ0=(B0/2)22μ0=14B02μ0But B0=E0CAverage energy density of magnetic field is14E02C2μ0=14∈0E02 ∴ ∈0=1C2μ0Average energy density of magnetic field =14×8.85×10−12×22=8.85×10−12J/m3

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