A series RL circuit contains two resistors and two inductors. The resistors are 43 Ω and 54 Ω . The inductors have inductive reactances of 70 Ω and 40 Ω . The total impedance is _____.
A) 52.15 Ω
B) 67.20 Ω
C) 84.94 Ω
D) 146.66 Ω

Question

Quizplus · Accepted Answer

The total impedance in a series RL circuit is calculated using the formula Z = √(R_total^2 + X_L_total^2), where R_total is the sum of resistances and X_L_total is the sum of inductive reactances. Here, R_total = 43 Ω + 54 Ω = 97 Ω and X_L_total = 70 Ω + 40 Ω = 110 Ω. Thus, Z = √(97^2 + 110^2) = √(9409 + 12100) = √21509 ≈ 146.66 Ω.

A Series RL Circuit Contains Two Resistors and Two Inductors