The axis of a hallow rectangular waveguide is along z-direction . Its width along x- direction is 8cm and height in y-direction is 5cm. The amplitude of electric filed intensity in x-direction is $E_{x 0} = 2.50 V / m$ in the $T M_{11}$ mode and operating frequency is 5GHz, then determine the amplitude $E_{y 0}$ (in V/m)

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Solution

$G i v e n : E_{x 0} = 250 V / m, f = 5 G H z$
$a = 8 c m a n d b = 5 c m$
$I n T M_{m n} m o d e, \frac{E_{y 0}}{E_{x 0}} = \frac{n a}{m b}$
$∴ F o r T M_{11} m o d e, E_{y 0} = \frac{a}{b} E_{x 1} = \frac{8}{5} \times 250 = 400 V / m$

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