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# In a series LCR circuit , the voltage across an inductor, a capacitor and a resistor are $30\;v, 30\;v$ and $60\;v$ respectively . What is the phase difference between the applied voltage and the current in the circuit .

$\begin{array}{1 1} \phi = 90^{\circ} \\ \phi = 45^{\circ} \\ \phi = 180^{\circ} \\ \phi = zero\end{array}$

Let $\phi$ be the phase difference betweeen applied voltage and the current
$\tan \phi = \large\frac{X_L- X_C}{R}$
$\qquad= I_v \large\frac{(X_L-X_C)}{I_vR}$
$\qquad= \large\frac{V_L -V_C}{V_R}$
$\qquad= \large\frac{30-30}{60}$
$\tan \phi = zero$
$\phi = 0^{\circ}$