Q.

In a plane electromagnetic wave, the electric field oscillates with amplitude  20Vm1, then the energy density of magnetic field is (in J/m3 )

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a

1×1010

b

5×1010

c

8.85×1010

d

8.85×105

answer is D.

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Detailed Solution

Average energy density of magnetic field  =Brms22μ0=(B0/2)22μ0=14B02μ0
But  B0=E0C
Average energy density of electric field=  14×E02C2μ0
But    C=1μ00 0=1C2μ0 Hence,  Average energy density of magnetic field = 14×0E02=14×8.85×1012×(20)2
                                                                                                              = 8.85×1010J/m3
 

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