In an air-filled rectangular waveguide with a = 2.286 cm and b = 1.016 cm, the y-component

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In an air-filled rectangular waveguide with a = 2.286 cm and b = 1.016 cm, the y-component of the TE mode is given by
Ey = sin (2πx/a) cos (3πy/b) sin (10π x 1010t – βz) V/m
find:
(a) The operating mode,
(b) The propagation constant 7,
(c) The intrinsic impedance η
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