(a) In the TEmn mode various field components can be written as follows: H, = Acos(k,x)sin...

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(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 Ë, ak плу sin (b) a jnßr 1 sin Ē, 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. (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 Ë, ak плу sin (b) a jnßr 1 sin Ē, 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.

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