An RLC series circuit has R = 56 Ω , X_L = 64 Ω , and X_C = 37 Ω . What is the value of Z? A) 25.49 Ω B) 43 Ω C) 59 Ω D) 62.17 Ω

Question

Quizplus · Accepted Answer

The total impedance (Z) in an RLC series circuit is calculated using the formula $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $R$ is the resistance, $X_L$ is the inductive reactance, and $X_C$ is the capacitive reactance. Substituting the given values, $Z = \sqrt{56^2 + (64 - 37)^2} = \sqrt{3136 + 729} = \sqrt{3865} = 62.17 \Omega$.

An RLC Series Circuit Has R = 56 Ω