Question #229826

An air filled rectangular waveguide has TE10 mode cut off frequency of 8Ghz. The signal frequency is 15 GHz and the ratio a/b is 2. If the waveguide is now filled with perplexed of relative permittivity 2.5 , find the guide wavelength of the signal.

Expert's answer

Given that,

v = 299702547 m/s **(light in air)**

f = 15 GHz

Cutoff frequency = 8Ghz

Signal Frequency: 15Ghz

Ratio: 2

Relative permittivity= 2.5

**=> **We, Convert the Wave frequency (f) 15 MHz to *" (Hz)"*

F = 15 x 1000000

F = 15000000 Hz

Substitute the value into the formula

**λ = **

**299702547/15000000**

λ = 19.98017 m

**∴ Wavelength (λ) = 19.98017 m**

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