Question

Find the phase constant of a wave travelling with a velocity of 1.2 x 108 and a frequency of 7.5 giga radian/sec

(a) 62.5

(b) 26.5

(c) 56.2

(d) 52.6

I have been asked this question in a national level competition.

The above asked question is from Transmission Line Secondary Parameters in portion Transmission Lines of Electromagnetic Theory

Answer 1

Correct choice is (a) 62.5

Explanation: The phase constant is given by β = ω/v, from the definition of phase constant and velocity. On substituting for ω = 7.5 x 10^9 and v = 1.2 x 10^8, we get the phase constant β = 7.5 x 10^9/1.2 x 10^8 = 62.5 units.