In a plane electromagnetic wave, the electric field oscillates with amplitude  20Vm−1, then the energy density of magnetic field is (in J/m3 )

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

  1. A

    1×1010

  2. B

    5×1010

  3. C

    8.85×105

  4. D

    8.85×1010

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    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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