Question:

In LCR series resonance circuit, choose the wrong statement

Updated On: Mar 22, 2024
  • Resonance occurs at XL = XC

  • At resonance, current has a maximum value
  • At resonance, circuit is purely inductive
  • At resonance, impedance is minimum
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The Correct Option is C

Solution and Explanation

At resonance in an LCR series resonance circuit, the circuit is not purely inductive. It is actually a combination of both inductive and capacitive reactances canceling each other out. At resonance, the inductive reactance (XL) and the capacitive reactance (XC) are equal in magnitude but opposite in sign, resulting in their cancellation. As a result, the circuit becomes predominantly resistive, and the impedance is at its minimum value. 
Therefore, the correct statement is (C) at resonance, the circuit is not purely inductive. 

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Concepts Used:

LCR Circuit

An LCR circuit, also known as a resonant circuit, or an RLC circuit, is an electrical circuit consist of an inductor (L), capacitor (C) and resistor (R) connected in series or parallel.

Series LCR circuit

When a constant voltage source is connected across a resistor a current is induced in it. This current has a unique direction and flows from the negative to positive terminal. Magnitude of current remains constant.

Alternating current is the current if the direction of current through this resistor changes periodically. An AC generator or AC dynamo can be used as AC voltage source.