B M Sharma Solutions for Chapter: Alternating Current, Exercise 2: DPP

For a series $RLC$ circuit, $R=X_{\mathrm{L}}=2X_{\mathrm{C}}$. The impedance of the circuit and phase difference between $V$ and $i$ will be

The figure shows variation of $R, X_{\mathrm{L}}$ and $X_{\mathrm{C}}$ with frequency $f$, in a series $L, C, R$ circuit. Then, for what frequency point, the circuit is inductive?

Same current is flowing in two alternating circuits. The first circuit contains only inductance and the other contains only a capacitor. If the frequency of the emf of AC is increased, the effect on the value of the current will be

In the circuit shown below, the AC source has voltage $V=20\cos \left(\omega t\right) \mathrm{V}$ with $\omega =2000 \mathrm{rad} {\mathrm{s}}^{-1}$. The amplitude of the current will be nearest to

In an $LCR$ circuit, $R=100 \mathrm{\Omega }$. When capacitance $C$ is removed, the current lags behind the voltage by $\frac{\mathrm{\pi }}{3}$. When inductance $L$ is removed, the current leads the voltage by $\frac{\mathrm{\pi }}{3}$. The impedance of the circuit is,

For the series $LCR$ circuit shown in the figure, what is the resonance frequency and value of the current at the resonating frequency?

Following figure shows an AC generator connected to a block box through a pair of terminals. The box contains possible $R, L, C$ or their combination, whose elements and arrangements are not known to us.

Measurements outside the box reveals that $e=75\sin \left(\sin \omega t\right) \mathrm{V}, i=1.5\sin \left(\omega t+45°\right) \mathrm{A}$, then the wrong statement is

A resistor $R$, an inductor $L$ and a capacitor $C$ are connected in series to an oscillator of frequency $n$. If the resonant frequency is $n_r$, then the current lags behind voltage when