Home
Class 12
PHYSICS
Figure shows a series LCR circuit connec...

Figure shows a series LCR circuit connected to a variable frequency 230 V source. `L = 5.0 H, C = 80 mu F, R = 40 Omega`.

Determine the source frequency which drives the circuit in resonance.

Text Solution

Verified by Experts

Given, the rms value of voltage `V_("ims")=230 V`
Inductance L = 5H
Capacitance `C = 80 mu f = 80xx10^(-6)F`
Resistance `R = 40 Omega`
For resonance frequency of circuit
`omega_(r )=(1)/(sqrt(LC))=(1)/(sqrt(5xx80xx10^(-6)))=50` rad/s
Source frequency at resonance, then
`upsilon_(0)=(omega_(0))/(2pi)=(50)/(2xx3.14)=7.76 Hz`
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

Figure shows a series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80 mu F, R = 40 Omega . Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency.

Figure shows a series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80 mu F, R = 40 Omega . Obtain the impedance of the circuit and the amplitude of current at the resonanting frequency.

A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23 Omega is connected to a 230 V variable frequency supply. What is the source frequency for which average power absorbed by the circuit is maximum. Obtain the value of this maximum power.

A series LCR circuit with R = 20 Omega, L = 1.5 H and C = 35 mu F is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle ?

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 ?

A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23 Omega is connected to a 230 V variable frequency supply. What is the source frequency for which current amplitude is maximum. Obtain this maximum vlaue.