In an $LC$ circuit,the inductance $L = 40 \; mH$ and capacitance $C = 100 \; \mu F$. If a voltage $V(t) = 10 \sin (314 t)$ is applied to the circuit,the current in the circuit is given by:

The graph shows current $v/s$ voltage in a series $RLC$ $A.C.$ circuit. The arrow indicates the direction that this curve is drawn as time progresses. In this plot,the

$A$ resistance of $40\, \Omega$ and an inductance of $95.5\, \text{mH}$ are connected in series in a $50\, \text{Hz}$ $AC$ circuit. The impedance of this combination is very nearly.....$\Omega$.

In a series $L-C-R$ circuit,the current in the circuit is $11 \, A$ when the applied voltage is $220 \, V$. The voltage across the capacitor is $200 \, V$. If the value of the resistor is $20 \, \Omega$,then the voltage across the unknown inductor is.......$V$

$A$ coil of $0.01 \, H$ inductance and $1 \, \Omega$ resistance is connected to a $200 \, V, 50 \, Hz$ $AC$ supply. Find the impedance of the circuit and the time lag between the maximum alternating voltage and current.

In the circuit shown here,the voltages across $L$ and $C$ are respectively $300\, V$ and $400\, V$. The voltage $E$ of the $AC$ source is......$V$.