Series LCR Circuit

The applied voltage V divides into three parts, V_L (across L), V_C (across C) and V_R (across R) such

that

We know

By KVL, V = V_R + j (V_L - V_C)

V = √ (V²_R + (V_L - V_C)²)

V_L = Voltage across Inductor

V_R = Voltage across Resistor

V_C = Voltage across Capacitor

The impedance of the circuit is

V_R = IR; V_C = ; V_L = IωL;

V = IZ

But at some particular frequency both Inductive effect and Capacitor effect cancels each other and the circuit start oscillating. This is called resonance and the resonating frequency is

At this frequency the current in the circuit is maximum as impedance (Z) is minimum.