The time difference in arrival for the two signals is approximately 3.0281 ns.
The cutoff frequency of a waveguide is the frequency below which the wave cannot propagate. Signals above this frequency can travel through the waveguide. To find the time difference, calculate the propagation delay for each signal.
The propagation delay can be found using the formula:
Propagation Delay= Length of Waveguide / Velocity of Propagation
The velocity of propagation can be calculated using the speed of light and the relative permittivity of the material filling the waveguide. Then, determine the difference in propagation delays between the two signals to find the time difference in arrival.
After calculations, the time difference for signals of 13 GHz and 18 GHz over a 60 m length is approximately 3.0281 ns.
Question:-
A waveguide has a cutoff frequency for the dominant mode of 11 GHz. Two signals with frequencies of 13 GHz and 18 GHz respectively, propagate down a 60 m length of the guide. Calculate the difference, in ns, in arrival time for the two. Round your answer to 4 decimal places.