**Series resonance or voltage resonance in RLC circuit**

The value of current at any instant in a series RLC circuit is given by

**I = V/Z**

**= V / √[R ^{2 }+ (X_{l}-X_{C})^{2}]**

**= V / √[R ^{2} + (ω_{L} – 1/ω_{C})]**

At a particular value of the angular frequency, the inductive reactance and the capacitive reactance will be equal to each other (i.e.)

ω_{L} = 1/ω_{C}; so that the impedance becomes minimum and it is given by Z = R

i.e. I am in phase with V

The particular frequency νo at which the impedance of the circuit becomes minimum and therefore the current becomes maximum is called Resonant frequency of the circuit. Such a circuit which admits maximum current is called series resonant circuit or acceptor circuit.

Thus the maximum current through the circuit at resonance is

I_{O} = V/R

Maximum current flows through the circuit since the impedance of the circuit is merely equal to the ohmic resistance of the circuit. i.e Z = R

ω_{L} = 1/ω_{C}

ω = 2π v_{0} = 1/√LC

**v _{0} = 1/2π√LC**