Home
Class 12
PHYSICS
Obtain the resonant frequency omega(r ) ...

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 ?

Text Solution

Verified by Experts

Given, `L = 2H, C = 32muF, R = 10 Omega`
Resonant angular frequency
`omega_(r )=(1)/(sqrt(LC))=(1)/(sqrt(2xx32xx10^(-6)))=125` rad/s
Q-factor of this circuit,
`Q = (1)/(R )sqrt((L)/(C ))=(1)/(10)sqrt((2)/(32xx10^(-5)))=(10^(3))/(40)=25`.
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise ADDITIONAL EXERCISES|35 Videos

  • ALTERNATING CURRENT

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise LONG ANSWER QUESTIONS|1 Videos

  • ANDHRA PRADESH MARCH-2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SECTION-C|3 Videos

Similar Questions

Explore conceptually related problems

Obtain the resonant frequency and Q-factor of a series LCR circuit with L = 3.0 H, C = 27 muF, and R = 7.4 Omega . It is desired to improve the sharpness of the resonance of the circuit by reducing its ‘full width at half maximum’ by a factor of 2. Suggest a suitable way.

A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Omega. L = 25.48mH . And C = 796mu F . The impedance of the circuit

A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Omega. L = 25.48mH . And C = 796mu F . The power dissipated in the circuit