A plane EM wave travelling in vacuum along z direction is given by
E = Eo sin(kz –ωt )i and B=Bosin (kz ωt)j .
(i) Evaluate ∮ E.dl over the rectangular loop 1234 shown in Fig 8.2.
(ii) Evaluate ∮B.ds over the surface bounded by loop 1234.
(iii) Use equation ∮E.dl=-dϕB/dt to prove Eo/Bo=c.
(iv) By using similar process and the equation
∮B.dl= μoI+ɛo dϕE/dt, prove that c=1/√μoɛo