An ac circuit has a 20 μF capacitor, an 80 mH inductor, and a 60 Ω resistor in series. If the voltage source has an angular frequency of 1000 rad/s, what is the phase constant for the circuit?
A) 27°
B) 53°
C) 45°
D) 63°
E) 88°

Question

Quizplus · Accepted Answer

The phase constant (φ) is given by φ = arctan((X_L - X_C) / R), where X_L = ωL and X_C = 1/(ωC). For ω = 1000 rad/s, L = 80 mH, C = 20 μF, and R = 60 Ω, X_L = 80 Ω and X_C = 50 Ω. Thus, φ = arctan((80 - 50) / 60) = arctan(0.5) ≈ 27°.

An Ac Circuit Has a 20 μF Capacitor, an 80