Electrical Power Systems Technology

Power System Fundamentals 45

Sample Problem:

Given: an AC circuit has the following component values: R = 100, L

= 1 H, C = 10μF, and 1 = 60 Hz.

Find: total impedance of the circuit.

Solution:

XL = 2π × f × L

= 6.28 × 60 Hz × 1 H

XL = 376.8 Ω

1

XC = —————

2 π × f × C

1

XC = ———————— = 265.4Ω

6.28 × 60 × 0.1–6

Figure 2-16. Current vector relationship in a parallel RLC circuit: (A) Circuit dia-

gram; (B) Vector diagram; (C) problem solution