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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?

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Given , mangnetic of ` vecE , E = 6.3 V//m`
magnetic of ` vecB ` is given by
` B= (E )/(c )`
where c= speed of light `= 3xx 10^8 m//s `
` implies B=(6.3 )/( 3xx 10^8 ) = 2.1 xx 10^(-8)T `
the wave propagates along the X- direction and`vecE` is along Y-direction . We know that an electromagnetic wave propagates along theZ- direction as
`( + hatj ) xx (+ hatk ) = + hati`
` therefore vecB = ( 2.1 xx 10^(-8) ) hatk T`
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