1.

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 hat j V/m. What is B at this point?

Answer»

Solution :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, `E XX B` should be along x-direction. SINCE, `(+ hat J) xx (+ hat k ) = hat i` , B is along the z-direction. THUS, `B = 2.1 xx 10^(-8) hat k T`


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