Question

A series combination of \(L\), \(C\) and \(R\) is connected to an a.c. source. Using a phasor diagram, derive an expression for the impedance of the circuit and phase difference between \(V\) and \(I\).

Hint:

For a series LCR circuit, always remember the two most important formulas: \[ Z=\sqrt{R^2+(X_L-X_C)^2} \] and \[ \tan\phi=\frac{X_L-X_C}{R} \] These formulas directly determine the impedance and phase relationship between voltage and current.

Answer 1