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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 :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=2.1xx10^(-8)hat(k)T`.


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