A plane EM wave travelling in vacuum along z direction is given by

**E** = E_{o} sin(kz –ωt )**i** and **B**=B_{o}sin (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=-d*ϕ*_{B}/dt to prove E_{o}/B_{o}=c.

(iv) By using similar process and the equation

∮B.dl= μ_{o}I+ɛ_{o }d*ϕ*_{E}/dt, prove that c=1/√μ_{o}ɛ_{o}