JEE Main · 2026 · 04 Apr 2026 · Shift 1 · Alternating Current

Using a variable-frequency a.c. voltage source, the maximum current measured in the given LCR circuit is 50 mA for $V=5\sin (100t)$. The values of L and R are shown in the figure. The capacitance of the capacitor (C) used is ______ $\mu$F.

For the series LCR circuit connected with 220 V, 50 Hz a.c source as shown in the figure, the power factor is $\frac{\alpha }{10}$. The value of $\alpha$ is

The electric current in the circuit is given as $i=i_{\mathrm{o}}(t/T)$. The r.m.s current for the period $t=0$ to $t=T$ is ______

An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is ______ .
( $\pi =3.14$ )

The figure given below shows an LCR series circuit with two switches ${\mathrm{S}}_1$ and ${\mathrm{S}}_2$. When switch ${\mathrm{S}}_1$ is closed keeping ${\mathrm{S}}_2$ open, the phase difference $(\varphi )$ between the current and source voltage is $30^{\circ }$ and phase differe …

An a.c. source of angular frequency $\omega$ is connected across a resistor R and a capacitor C in series. The current is observed as I. Now the frequency of the source is changed to $\omega /4$, (keeping the voltage unchanged) the current is found to be $I/3$. The ratio of resist …