1. Tardigrade
  2. Question
  3. Physics
  4. In an LCR series circuit (of inductance L, capacitance C and resistance R), the impedance is minimum when the angular frequency of the source is given by

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. In an LCR series circuit (of inductance L, capacitance C and resistance R), the impedance is minimum when the angular frequency of the source is given by

KEAMKEAM 2019

Solution:

As at resonance capacitive reactance is equal to inductive reactance,
So, $\omega L=\frac{1}{\omega C}$
$\Rightarrow \omega^{2}=\frac{1}{L C}$
$\Rightarrow \omega=\frac{1}{\sqrt{L C}}$
Where, $\omega=$ angular frequency of the source.