Phase angle: The phase angle of an LRC series circuit with an inductive reactance of 200 Ω and a capacitive reactance of 100 Ω is 40.0°. What is the value of the resistor in this circuit?

Question

Quizplus · Accepted Answer

The phase angle of an LRC series circuit is given by the formula:

tan φ = (X L - X C )/R
where φ is the phase angle, X L is the inductive reactance, X C is the capacitive reactance, and R is the resistance.

Substituting the given values, we get:

tan 40° = (200 - 100)/R
tan 40° = 100/R
R = 100/tan 40° ≈ 118.86 ≈ 119 Ω

Therefore, the value of the resistor in this circuit is about 119 Ω. Hence, the best choice is B.

Phase Angle: the Phase Angle of an LRC Series Circuit