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 ?

A series LCR circuit with `R = 20 Omega, L = 1.5 H` and `C = 35 mu F`

1.	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 ?
Answer» Given resistance `R = 200 Omega`, Inductance `L = 1.5 H`, capacitance `C = 35 mu F = 35xx10^(-6)F` and voltage `V_("rms")=200 V` When, the frequency of the supply equal to the natural frequency of the circuit, this is the condition of resonance. At the condition of resonance, Impedance `Z=R=20 Omega` The rms value of current in the circuit `I_("rms")=(V_("rms"))/(Z)=(200)/(20)=10A` `phi = 0^(@)` Power transferred to the circuit in one complete cycle. `P = I_("rms")V_("rms")cos phi` `= 10xx200xxcos 0^(@)=2000 omega =2K omega`

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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 ?

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