MDCAT Physics MCQ #24

A series RLC circuit has R = 100 Ω, L = 0.1 H, and C = 10 μF. If the frequency of the AC source is 50 Hz, what is the impedance?

MDCAT Physics MCQ #24

  1. Question 1

    Q1. A series RLC circuit has R = 100 Ω, L = 0.1 H, and C = 10 μF. If the frequency of the AC source is 50 Hz, what is the impedance?

    • A) 100 Ω
    • B) 150 Ω
    • C) 200 Ω
    • D) 250 Ω

    Answer: 150 Ω

    Explanation: First, calculate Xl and Xc. Xl = 31.4 Ω, Xc = 318 Ω. Then, Z = sqrt(R^2 + (Xl - Xc)^2) = sqrt(100^2 + (31.4 - 318)^2) = 150 Ω (approx). Option A is incorrect because it neglects reactance.