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The magnetic field of a beam emerging fr...

The magnetic field of a beam emerging from a filter facing a floodlight is given by `B=12xx10^(-8)sin (1.20xx10^(7)z-3.60xx10^(15)t)` T. What is the average intensity of the beam ?

Text Solution

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Comparing `B=12xx10^(-8)sin(1.20xx10^(7)z-3.60xx10^(15)t)` with equation `B = B_(0)sin omega t`
`B_(0)=12xx10^(-8)T`
Average intensity of beam.
`I_("average")=(B_(0)^(2))/(2mu_(0))C`
`=(1)/(2)xx((12xx10^(-8))^(2)xx3xx10^(8))/(4xx3.14xx10^(-7))`
`therefore I_("average")=1.71 W//m^(2)`
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