For a plane electromagnetic wave,the magnetic field at a point $x$ and time $t$ is $\overrightarrow{ B }( x , t ) = [1.2 \times 10^{-7} \sin (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) \hat{ k }] \text{ T}$. The instantaneous electric field $\overrightarrow{ E }$ corresponding to $\overrightarrow{ B }$ is: (speed of light $c = 3 \times 10^{8} \text{ m/s}$)

• A
  $\overrightarrow{ E }( x , t ) = [36 \sin (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) \hat{ k }] \text{ V/m}$
• B
  $\overrightarrow{ E }( x , t ) = [-36 \sin (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) \hat{ j }] \text{ V/m}$
• C
  $\overrightarrow{ E }( x , t ) = [-36 \sin (1 \times 10^{3} x + 1.5 \times 10^{11} t) \hat{ j }] \text{ V/m}$
• D
  $\overrightarrow{ E }( x , t ) = [36 \sin (1 \times 10^{3} x + 1.5 \times 10^{11} t) \hat{ j }] \text{ V/m}$