Question

Assume the impedance of a circuit element is Z = (3 + j4) Ω. Determine the circuit element’s conductance and susceptance.

A. G = 120 mS, B = j160 mS
B. G = 333 mS, B = j250 mS
C. G = 108 mS, B = -j194 mS
D. G = 160 mS, B = j108 mS
E. G = 120 mS, B = -j160 mS
F. None of the other answers is correct

Answer 1

B. G = 333 mS, B = j250 mS

Step-by-step explanation:

impedance of a circuit element is Z = (3 + j4) Ω

The general equation for impedance

Z = (R + jX) Ω

where

R = resistance in ohm

X = reactance

R = 3Ω X = 4Ω

Conductance = 1/R while Susceptance = 1/X

Conductance = 1/3 = 0.333S

= 333 mS

Susceptance = 1/4 = 0.25S

= 250mS

The right option is B. G = 333 mS, B = j250 mS