Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Obtain the resonant frequency omega_r of a series LCR circuit with L.

Q7.6  Obtain the resonant frequency \omega _{r} of a series LCR circuit with L=2.0H, C=32\mu F and  R=10\Omega . What is the Q -value of this circuit?

Answers (1)

best_answer

Given, in a circuit,

Inductance,  L=2H

Capacitance,    C=32\mu F=32*10^{-6}F

Resistance, R=10\Omega

Now,

Resonance frequency (frequency of maximum current OR minimum impedance OR frequency at which inductive reactance cancels out capacitive reactance )

\omega _r=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{2*32*10^{-6}}}=\frac{1}{8*10^{-3}}=125s^{-1}

Hence Resonance frequency is 125 per second.

Q-Value: 

Q=\frac{1}{R}\sqrt{\frac{L}{C}}=\frac{1}{10}\sqrt{\frac{2}{32*10^{-6}}}=25

Hence Q - value of the circuit is 25.

Posted by

Pankaj Sanodiya

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question