A series circuit has a resistance of 4.0 Ω,a reactance (due to the capacitance)of 21.0 Ω,and a reactance (due to the inductance)of 17.0 Ω.Find the impedance of the circuit.
A) 5.7 Ω
B) 27 Ω
C) 8.0 Ω
D) 42 Ω

Question

Quizplus · Accepted Answer

The impedance of a series 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 = √(4.0² + (17.0 - 21.0)²) = √(16 + (-4)²) = √(16 + 16) = √32 = 5.7 Ω.

A Series Circuit Has a Resistance of 4