# A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is $E=6\; Vm^{-1}$ along y-direction. Its corresponding magnetic field component, B would be :Option 1)$6\times10^{-8}$ T along x-direction    Option 2)$2\times10^{-8}$ T along z-directionOption 3)$2\times10^{-8}$ T along y-direction  Option 4)$6\times10^{-8}$ T along z-direction

Answers (1)

$E_{o}=6\; V/m$ along y

Wave travels along x

So apply

$E=BC$

$\Rightarrow B=\frac{E}{C}=\frac{6}{3\times 10^{8}}=2\times 10^{-8}T$

& direction of wave is given by $\vec{E}\times \vec{B}$

So $\vec{B}$ is along positive  Z axis

So $\vec{B}=2\times 10^{-8}$ T along z- direction

Option 1)

$6\times10^{-8}$ T along x-direction

Option 2)

$2\times10^{-8}$ T along z-direction

Option 3)

$2\times10^{-8}$ T along y-direction

Option 4)

$6\times10^{-8}$ T along z-direction

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