(a) In the TEmn mode various field components can be written as follows: H, = Acos(k,x)sin (kyy), H = Bm sin(k,x)cos (k,y) H, = Bn cos(k,x) sin(k,y), E, = Bn cos(k,x)sin (k,y) Ey, = A m sin(kx)cos (k,y), where A and B are constants. Using the above equation sketch electric field pattern in a transverse cross section for O TE40 (ii) TE44 jmBt Acos , ak sin (b) a jnr 1 sin , bk nty cos a jnwEn i sin bk nay cos %3D a jmaEk Acos H, ak Transverse field components of a rectangular waveguide for TMmn mode are shown above. Using the above equations. find the dominant mode for Transverse Magnetic mode.