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સમતલ ચુંબકીયક્ષેત્ર તરંગમાં ચુંબકીયક્ષેત્ર $\overrightarrow{ B }( x , t )=\left[1.2 \times 10^{-7} \sin \left(0.5 \times 10^{3} x +1.5 \times 10^{11} t \right) \hat{ k }\right] T$ હોય તો વિદ્યુતક્ષેત્ર શોધો.
$\overrightarrow{ E }( x , t )=\left[36 \sin \left(0.5 \times 10^{3} x +1.5 \times 10^{11} t \right) \hat{ k }\right] \frac{ v }{ m }$
$\overrightarrow{ E }( x , t )=\left[-36 \sin \left(0.5 \times 10^{3} x +1.5 \times 10^{11} t \right) \hat{ j }\right] \frac{ v }{ m }$
$\overrightarrow{ E }( x , t )=\left[-36 \sin \left(1 \times 10^{3} x +1.5 \times 10^{11} t \right) \hat{ j }\right] \frac{ v }{ m }$
$\overrightarrow{ E }( x , t )=\left[36 \sin \left(1 \times 10^{3} x +1.5 \times 10^{11} t \right) \hat{ j }\right] \frac{ v }{ m }$
Solution
$\overrightarrow{ E }$ and $\overrightarrow{ B }$ are perpendicular for $EM$ wave
$E _{0}= CB _{0}$
$=3 \times 10^{8} \times 1.2 \times 10^{-7}$
$=36$
Having same phase
Propagation is along $-x-$axis, $\overrightarrow{ B }$ is along $z-$axis
hence $\overrightarrow{ E }$ must be along $y-$axis.
