In an RLC series circuit at resonance frequency f_0, what is the phase difference between the supply voltage and the circuit current?

Answer and explanation

Correct answer: A. 0 degrees (voltage and current are completely in phase)

  1. Step 1: At resonance, inductive reactance equals capacitive reactance: X_L = X_C. Step 2. Net reactance X = X_L - X_C = 0. Step 3. Phase angle tan(phi) = X / R = 0 => phi = 0 degrees. Circuit acts as purely resistive with power factor cos(0) = 1. Answer: 0 degrees (voltage and current are completely in phase). Why not the others: 90° occurs in purely inductive or capacitive circuits.

Practise more Electromagnetism and Wave Optics.

Free questions with an explanation for every one, and full timed ECAT Pakistan mock tests.