$A$ coil of inductive reactance $ \frac{1}{\sqrt{3}} \Omega $ and resistance $ 1 \Omega $ is connected to a $ 200 \ V, 50 \ Hz $ $AC$ supply. The time lag between maximum voltage and current is

$A$ light bulb connected in series with a capacitor and an $A.C.$ source is glowing with a certain brightness. On reducing the capacitance of the capacitor and the frequency of the source,the brightness of the lamp (respectively):

$A$ resistance of $400\,\Omega$ is connected in series with an inductor of $(3/\pi)\,H$ and this combination is connected across an $A.C.$ source as shown in the figure,where $e = 400 \sin(100\pi t)$. Which of the following statements is correct?

$A$ coil of inductance $0.50 \; H$ and resistance $100 \; \Omega$ is connected to a high-frequency supply $(240 \; V, 10 \; kHz)$.
$(a)$ What is the maximum current in the coil?
$(b)$ What is the time lag between the voltage maximum and the current maximum?
Hence,explain the statement that at very high frequency,an inductor in a circuit nearly amounts to an open circuit. How does an inductor behave in a $DC$ circuit after the steady state?

In a series $L-C-R$ circuit,the frequency of a $10 \, V$ $a.c.$ voltage source is adjusted in such a fashion that the reactance of the inductor measures $15 \, \Omega$ and that of the capacitor $11 \, \Omega$. If $R = 3 \, \Omega$,the potential difference across the series combination of $L$ and $C$ will be.....$V$.

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