Question

The centre of the point having a normalised resistance of 1.2 ohm and reactance of 1.5 ohm is

(a) (0.54,0)

(b) (0.45,0)

(c) (0.36,0)

(d) (0.78,0)

The question was asked in an online interview.

This question is from Smith Chart topic in chapter Transmission Lines of Electromagnetic Theory

Answer 1

Right choice is (a) (0.54,0)

Easy explanation: The centre of a point in Smith chart is given by C = (r/1+r, 0). On substituting for r = 1.2, we get centre as (1.2/1+1.2,0) = (0.54,0).