Question

Consider an impedance z = R + jx marked with point P in an impedance smith chart as shown in figure. The movement from point P along a constant resistance circle in the clockwise direction by an angle 450 is equivalent

(a) Adding an inductance in series with Z 

(b) Adding a capacitance in series with Z 

(c) Adding an inductance in shunt across Z 

(d) Adding a capacitance in shunt across Z 

Answer 1

Correct option (a) Adding an inductance in series with Z

Explanation:

Point P(z = R + jX) on the Smith chart as shown in figure is the intersection of constant resistance circle r = 0. 5 and constant reactance circle X = −, Normalized impedance Z = . − j 

The movement from point P along constant resistance circle of 0.5 by 450 in clockwise direction, resistance 0.5 is not changed but positive reactance is added. This is equivalent to adding inductance in series with Z.