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A plane electromagnetic wave of frequency $500\, MHz$ is travelling in vacuum along $y-$direction. At a particular point in space and
time, $\overrightarrow{ B }=8.0 \times 10^{-8} \hat{ z } \;T$. The value of electric field at this point is
(speed of light $\left.=3 \times 10^{8}\, ms ^{-1}\right)$
$\hat{ x }, \hat{ y }, \hat{ z }$ are unit vectors along $x , y$ and $z$ direction.
$-24 \hat{ x }\, V / m$
$2.6 \hat{ x }\, V / m$
$24 \hat{ x }\, V / m$
$-2.6 \hat{ y }\, V / m$
Solution
$f =5 \times 10^{8} Hz$
EM wave is travelling towards $+\hat{j}$
$\overrightarrow{ B }=8.0 \times 10^{-8} \hat{ z } T$
$\overrightarrow{ E }=\overrightarrow{ B } \times \overrightarrow{ C }=\left(8 \times 10^{-8} \hat{ z }\right) \times\left(3 \times 10^{8} \hat{ y }\right)$
$=-24 \hat{ x } V / m$