Alternating Current

Figure shows a circuit contains three identical resistors with resistance $R=9.0\Omega\,$ each, two identical inductors with inductance $L=2.0\mathrm{mH}$ each, and an ideal battery with emf $\epsilon\,=18V$. The…

A $100\Omega\,$ resistance and a capacitor of $100\Omega\,$ reactance are connected in series across a $220 V$ source. When the capacitor is $50%$ charged, the peak value of the displacement current is

A $20$$\text{H}$ inductor coil is connected to a $10$ $\Omega\,$resistance in series as shown in figure. The time at which rate of dissipation of energy(Joule's heat)across resistance is equal to the rate at which…

The figureshows a circuit that contains four identical resistors with resistance $R=2.0\Omega\,,$two identical inductors with inductance $L=2.0\mathrm{mH}$ and an ideal battery with E.M.F.$E=9V.$The current $i$ just…

In a circuit consisting of a capacitance and a generator with alternating emf,$E_{g}=E_{go}sin\omega\,t,V_{C}$and $I_{C}$are the voltage and current. Correct phasor diagram for such circuit is

In the above circuit, $C=\frac{\sqrt{3}}{2}\mu\,F,R_{2}=20\Omega\,,L=\frac{\sqrt{3}}{10}H$ and $R_{1}=10\Omega\,.$ Current in $L\text{-}R_{1}$ path is $I_{1}$ and in $C-R_{2}$ path it is $I_{2}.$ The voltage of volts.…

Match List-I with List-II List-i List-II a Phase difference between current and voltage in a purely resistiveACcircuit i $\frac{\pi\,}{2};$ current leads voltage b Phase difference between current and voltage in a pure…

An alternating emf $\mathrm{E}=110 \sqrt{2} \sin 100 \mathrm{t}$ volt is applied to a capacitor of $2 \mu \mathrm{F}$, the rms value of current in the circuit is _____$\mathrm{mA}$,

An inductor of $10$ mH, capacitor of $0.1\ \mu$F and a resistor of $100\ \Omega$ are connected in series across an $a.c$ power supply $220$ V, $70$ Hz. The power factor of the given circuit is $0.5$. The difference in…

In an $LCR$series circuit, an inductor $30\mathrm{mH}$ and a resistor $1\Omega\,$ are connected to an $\mathrm{AC}$ source of angular frequency $300\rad\,s^{-1}.$ The value of capacitance for which the current leads the…

An LCR series circuit of capacitance $62.5\mathrm{nF}$ and resistance of $50\Omega\,$,is connected to an A.C. source of frequency $2.0\mathrm{kHz}$. For maximum value of amplitude of current in circuit, the value of…

For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is $25 \mathrm{nF}$. If resistance of $200 \Omega$ and $100 \mathrm{mH}$ inductor is being used in the given…