2. A 4 cm-long piece of air-filled rectangular waveguide with a cross-sectional dimensions of 2.85 x 1.26 cm2 is operated at 8 GHz. At the input of the waveguide (i.e., at z 0), the electric field is expressed by: E, = 5 sin (255 10-) V/m 2.85 x 10-2 (a) Find the average power passing through this waveguide. (b) what is the magnitude and phase of the electric field at the output of the waveguide (i.e., at z = 4 cm)? (c) if it is required to make this waveguide an attenuator by reducing its width (a), what should the width be to make the electric field amplitude at the output of the waveguide 3 V/m at the same frequency? '

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2. A 4 cm-long piece of air-filled rectangular waveguide with a cross-sectional dimensions of
2.85 x 1.26 cm? is operated at 8 GHz. At the input of the waveguide (i.e., at z = 0), the
electric field is expressed by:
Ey
= 5 sin
2.85 x 10-2
(a) Find the average power passing through this waveguide.
(b) what is the magnitude and phase of the electric field at the output of the waveguide
(i.e., at z = 4 cm)? !
(c) if it is required to make this waveguide an attenuator by reducing its width (a), what
should the width be to make the electric field amplitude at the output of the waveguide 3 V/m
at the same frequency?
Transcribed Image Text:2. A 4 cm-long piece of air-filled rectangular waveguide with a cross-sectional dimensions of 2.85 x 1.26 cm? is operated at 8 GHz. At the input of the waveguide (i.e., at z = 0), the electric field is expressed by: Ey = 5 sin 2.85 x 10-2 (a) Find the average power passing through this waveguide. (b) what is the magnitude and phase of the electric field at the output of the waveguide (i.e., at z = 4 cm)? ! (c) if it is required to make this waveguide an attenuator by reducing its width (a), what should the width be to make the electric field amplitude at the output of the waveguide 3 V/m at the same frequency?
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