BCECE Medical BCECE Medical Solved Papers-2006

  • question_answer
    The magnetic field amplitude of an electromagnetic wave is \[2\times {{10}^{-7}}\] T. Its electric field amplitude, if the wave is travelling in free space is:

    A)  6 \[V{{m}^{-1}}\]      

    B)  60 \[V{{m}^{-1}}\]

    C)  \[\frac{1}{6}\,\,V{{m}^{-1}}\]

    D)  none of these

    Correct Answer: B

    Solution :

    We can write the electric and magnetic fields as sinusoidal functions of position x and time t.                 \[E={{E}_{0}}\sin \,\,(kx-\omega \,t)\]                 \[B={{B}_{0}}\sin \,\,(kx-\omega \,t)\] In this \[{{E}_{0}}\] and \[{{B}_{0}}\] are the amplitudes of the fields. Further                 \[c=\frac{{{E}_{0}}}{{{B}_{0}}}\] or            \[{{E}_{0}}={{B}_{{{0}^{C}}}}\] Given, \[{{B}_{0}}=2\times {{10}^{-7}}\times 3\times {{10}^{8}}=60\,\,V{{m}^{-1}}\] we have \[{{E}_{0}}=2\times {{10}^{-7}}\times 3\times {{10}^{8}}=60\,\,V{{m}^{-1}}\]


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