With the help of a phasor diagram find an expression for impedance (Z) in a series L-C-R circuit.

In L-C-R series circuit

In L-C-R series AC circuit,

The current in the series L-C-R circuit is

An ac source of voltage V = V_ 0sin omegat is connected to a series combination of L, C and R. Use the phasor diagram to obtain expressions for impedance of the circuit and phase with the voltage. What is circuit in this condition called?

(i) An a.c. Source of voltage V = V_(0) " sin " omegat is connected to a series combination of L,C and R . Use the phasor diagram to obtain expression for impedance of the circuit and phase angle between voltage and current . Find the condition when current will be phase with the voltage . What is the circuit in this condition called ? (ii) In a series LR circuit X_(L) = R and power factor of the circuit is P_(1) . When capacitor which capacitance C such that X_(L) =X_(C) is put in series , the power factor becomes P_(2) .Calculate P_(1)//P_(2)

At resonance of the given series R-L-C circuit:

the impedance Z in an AC circuit is given by

Resonant frequency is given by (for a series L-C-R circuit)