Question

Explain why the total impedance of a cicuit decreases when a capacitor is added in series with inductor and resistor​

Answer 1

Answer:

For an LR circuit, the impedance, ZLR = √ R 2 + X 2 L R2+XL2, where XL is the reactance of the inductor. ZLCR = √ R 2 + ( X L − X C ) 2 R2+(XL−XC)2 because in the case of an inductor the current lags behind the voltage by a phase angle of π 2 π2rad while in the case of a capacitor the current leads the voltage by a phase angle of π 2 π2rad. The decrease in net reactance decreases the total impedance (ZLCR < ZLR).