In a plane electromagnetic wave, the electric field oscillates with amplitude 20Vm−1, then the energy density of magnetic field is (in J/m3 )
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a
1×10−10
b
5×10−10
c
8.55×10−5
d
8.55×10−10
answer is D.
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Detailed Solution
Average energy density of magnetic field =B2rms2μ0=(B0/2)22μ0=14B02μ0But B0=E0CAverage energy density of electric field= 14×E02C2μ0But C=1μ0∈0 ∴E0=1C2μ0 Hence, Average energy density ofmagnetic field = 14×∈0E02=14×8.55×10−12×(20)2 = 8.55×10−10J/m3