A series RLC ac circuit has a capacitive reactance of 55 Ω, an inductive reactance of 25 Ω, and a resistance of 40 Ω. What is the phase constant of this circuit?
A) 37°
B) −37°
C) 53°
D) −53°
E) 66°

Question

Quizplus · Accepted Answer

The phase constant of a series RLC circuit can be found using the following formula:

tan φ = (Xl - Xc) / R

Where Xl is the inductive reactance, Xc is the capacitive reactance, and R is the resistance.

Substituting the given values:

tan φ = (25 Ω - 55 Ω) / 40 Ω = -0.75

Taking the arctan of both sides:

φ = -37°

Therefore, the phase constant of the circuit is -37°.

A Series RLC Ac Circuit Has a Capacitive Reactance of 55