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A plane electromagnetic wave of frequenc...

A plane electromagnetic wave of frequency `25 Mhz` travels in free space along the x-direction. At a particular point in space and time, `E= (6.3 j) V//m`. What is `B` at this point?

Text Solution

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Using Eq. (8.10) the magnitude of B is
`B=(E)/(c)`
`=(6.3V//m)/(3xx10^(8)m//s)=2.1xx10^(-8)T`
To find the direction, we note that E is along y-direction and the wave propagates along x axis . Therefore, B should be in a direction perpendicular to both x and y axes. using vector algebra. ExxB should be along x-direction. Since , `(+hatj)xx(+hatk)=i`, B is along the z-direction, thus, `B=2.1xx10^(-8)kT`
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