In an $EM$ wave propagating along the $X-$ direction,the magnetic field oscillates at a frequency of $3 \times 10^{10} \, Hz$ along the $Y-$ direction and has an amplitude of $10^{-7} \, T$. The expression for the electric field will be:

  • A
    $E_z = 30 \sin 2\pi (100x - 3 \times 10^{10} t) \, V/m$
  • B
    $E_z = 300 \sin 2\pi (100x - 3 \times 10^{10} t) \, V/m$
  • C
    $E_y = 30 \sin 2\pi (100x - 3 \times 10^{10} t) \, V/m$
  • D
    $E_z = 300 \sin 2\pi (100x - 3 \times 10^{10} t) \, V/m$

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$(ii)$ The time-averaged intensity of the wave is given by $I_{av} = \frac{1}{2} c \epsilon_0 E_0^2$.

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