JEE Main & Advanced Physics EM Waves Question Bank Self Evaluation Test - Electromagnetic Waves

  • question_answer
    Find the average energy density corresponding to maximum electric field, if magnetic field in a plane electromagnetic wave is given by \[B=200\times {{10}^{-6}}\,\sin \,[(4\times {{10}^{15}})(t-x/c)]\]

    A) \[1.6\,J\,{{m}^{-3}}\]  

    B) \[0.16\,J\,{{m}^{-3}}\] 

    C) \[0.016\,J\,{{m}^{-3}}\]

    D) \[0.0016\,J\,{{m}^{-3}}\]

    Correct Answer: C

    Solution :

    [c] Average energy density corresponding to maximum electric field, \[{{u}_{av}}=\frac{B_{0}^{2}}{2{{\mu }_{0}}}=\frac{{{(200\times {{10}^{-6}})}^{2}}}{2\times 4\pi \times {{10}^{-7}}}\cong 0.016\,J{{m}^{-3}}\]


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