For a plane electromagnetic wave, the magnetic field at a point x and time t is $\overrightarrow B \left( {x,t} \right)$ = $\left[ {1.2 \times {{10}^{ - 7}}\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)\widehat k} \right]$ T The instantaneous electric field $\overrightarrow E $ corresponding to $\overrightarrow B $ is : (speed of light c = 3 × 108 ms–1)

Question

For a plane electromagnetic wave, the magnetic field at a point x and time t is

$\overrightarrow B \left( {x,t} \right)$ = $\left[ {1.2 \times {{10}^{ - 7}}\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)\widehat k} \right]$ T

The instantaneous electric field $\overrightarrow E $ corresponding to $\overrightarrow B $ is :
(speed of light c = 3 × 10⁸ ms^–1)

$\overrightarrow E \left( {x,t} \right) = \left[ {36\sin \left( {1 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)\widehat i} \right]$ ${V \over m}$

$\overrightarrow E \left( {x,t} \right) = \left[ {36\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)\widehat k} \right]{V \over m}$

$\overrightarrow E \left( {x,t} \right) = \left[ {36\sin \left( {1 \times {{10}^3}x + 0.5 \times {{10}^{11}}t} \right)\widehat j} \right]{V \over m}$

$\overrightarrow E \left( {x,t} \right) = \left[ { - 36\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)\widehat j} \right]{V \over m}$

Solution

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