1.

A plane EM wave travelling in vacuum along z - direction is given by vec(E )=E_(0)sin (kz - omega t)hat(i)andvec(B)=B_(0)sin(kz - omega t)hat(j).Evaluate int vec(B).vec(d)s over the surface bounded by loop 1234.

Answer»

Solution :Let SQUARE 1234 is made up of very large no. of small strip ds, let area of one strip = ds = h dz
`THEREFORE int vec(B ).vec(d)s=int B ds COS 0^(@)`
`= int B ds "" [because cos 0^(@)=1]`
`= int_(z_(1))^(z_(2))B_(0)sin (kz- omega t)h dz "" [because ds = h dz]`
`=-(B_(0)h)/(k)`
`[cos(kz_(2)-omega t)-cos (kz_(1)-wt)] ""`....(2)


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