What is the impedance of an AC series circuit that is constructed of a 12.5-Ω resistor along with 13.6-Ω inductive reactance and 3.43-Ω capacitive reactance?
A)29.5 Ω
B)22.7 Ω
C)18.2 Ω
D)16.1 Ω
E)3.36 Ω

Question

Quizplus · Accepted Answer

The impedance of an AC series circuit is calculated using the formula Z = √(R² + (X_L - X_C)²), where R is the resistance, X_L is the inductive reactance, and X_C is the capacitive reactance. Substituting the given values: Z = √(12.5² + (13.6 - 3.43)²) = √(12.5² + 10.17²) = √(156.25 + 103.4289) = √259.6789 ≈ 16.1 Ω.

What Is the Impedance of an AC Series Circuit That