in series LCR circuit L=10 mH, C = 10 F, R= 20 is connected to AC Source of V =200 sint.find power at half power frequencies?
Suppose two angular frequencies for which the power transferred to the circuit is half the power at the resonant frequency
We need to calculate the resonant frequency
Using formula of resonant frequency
Put the value into the formula
We need to calculate the peak voltage
Using formula of peak voltage
We need to calculate the current
Using formula of current
Put the value into the formula
We need to calculate the resonant frequency
Using formula of angular frequency
Where,
Put the value into the formula
We need to calculate the angular frequency at which power transferred is half at the resonant frequency
Using formula of angular frequency
Put the value into the formula
Hence, The frequencies which the power transferred to the circuit is half the power at the resonant frequency are 2162.27 rad/s and 4162.27 rad/s.
Study 40% syllabus and score up to 100% marks in JEE