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The electric field in an electromagnetic...

The electric field in an electromagnetic wave is given by `E=( 50N (C^-1)) sin omega (t-x/c).` Find the energy contained in a cylinder of cross section `10 cm^2` and length 50 cm along the x- axis.

Text Solution

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Average volume of energy density `u_(aV)=(1)/(2)epsilon_(0)E_(0)^(2)`
Total volume of cylinder `V=Al`
Total energy of contained in cylinder
`U=(U_(aV))V=((1)/(2)epsilon_(0)E_(0)^(2))(Al)=5.5xx10^(-12)J`
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