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 impedance of this circuit?
A) 12 Ω
B) 95 Ω
C) 70 Ω
D) 10 Ω
E) 50 Ω

Question

Quizplus · Accepted Answer

The impedance (Z) of a series RLC circuit is calculated using the formula Z = √(R² + (X_L - X_C)²), where R is resistance, X_L is inductive reactance, and X_C is capacitive reactance. Here, Z = √(40² + (25 - 55)²) = √(40² + (-30)²) = √(1600 + 900) = √2500 = 50 Ω.

A Series RLC Ac Circuit Has a Capacitive Reactance of 55