Consider a rectangular waveguide for which inner dimensions a - 1.5 cm and b- 0.8 cm filled with a lossless dielectric material with a conductivity o 0, a permeability u u0, and a permittivity e- 4c0. The waveguide is decided to be operated using a transverse electric (TE) mode for which the magnetic field component ".is given as, (3my H, = 2sin Jcos ain(rx10"r - e) A/m (a) Determine the specific mode of operation TEm. (b) Which field component equals to zero under this mode of operation? (c) Find the cutoff frequency f

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Question 4
Consider a rectangular waveguide for which inner dimensions a = 1.5 cm and b 0.8 cm filled
with a lossless dielectric material with a conductivity a = 0, a permeability u = µ0, and a
permittivity 4c0. The waveguide is decided to be operated using a transverse electric (TE)
mode for which the magnetic field component ". is given as,
( 3.xy
H, = 2sin cos
sin(z x10"r-) A/m
(a) Determine the specific mode of operation TEmn.
(b) Which field component equals to zero under this mode of operation?
(c) Find the cutoff frequency f
(d) Obtain the phase constant B.
(e) Obtain the propagation constant y.
() Calculate the intrinsic wave impedance n.
Transcribed Image Text:Question 4 Consider a rectangular waveguide for which inner dimensions a = 1.5 cm and b 0.8 cm filled with a lossless dielectric material with a conductivity a = 0, a permeability u = µ0, and a permittivity 4c0. The waveguide is decided to be operated using a transverse electric (TE) mode for which the magnetic field component ". is given as, ( 3.xy H, = 2sin cos sin(z x10"r-) A/m (a) Determine the specific mode of operation TEmn. (b) Which field component equals to zero under this mode of operation? (c) Find the cutoff frequency f (d) Obtain the phase constant B. (e) Obtain the propagation constant y. () Calculate the intrinsic wave impedance n.
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