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Q.

The electric field of a plane electromagnetic wave varies with time of amplitude 2Vm−1 propagating along z-axis. The average energy density of the magnetic field is( in Jm−3 )

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a

13.29×10−12

b

4.43×10−12

c

17.72×10−12

d

8.85×10−12

answer is D.

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Detailed Solution

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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