Q-8. An electromognetic wave travels in vacuum along z direction: E=(E1i^+E2 j^) cos(kz-ωt) . Choose the correct options from the following:

(a) The associated magnetic field is given as B=1C(E1i^+E2 j^) cos(kz-ωt).

(b) The associated magnetic field is given as B=1C(E1i^+E2 j^) cos(kz-ωt).

(c) The given electromagnetic field is circularly polarised.

(d) The given electromagnetic wave is plane polarised.

 

Ans:(a) and (d)

Explanation:

Given that electric field vector of an electromagnetic wave travels in vacuum along   z – direction is

E=E1+E2  coskzωt_______(i) 

The magnetic of the electric and magnetic fields in an electromagnetic wave are related as

B0=E0CB=ECB=E1+E2 CcoskzωtB=1CE1+E2  coskzωt_____(ii) 

(a)

Also E and B are perpendicular to each other and the propagation of electromagnetic wave is perpendicular to E as well as B, so the given electromagnetic wave is plane polarized (d)