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 coil of inductance $1H$ and resistance $100\Omega\,$ is connected to a battery of $6V$. Determine approximately : (a) The time elapsed before the current acquires half of its steady-statevalue (b) The energy stored in…

An inductor $(L=0.03\text{H})$ and a resistor $(R=0.15\text{k\Omega})$ are connected in series to a battery of $15\text{V}$ E.M.F. in a circuit shown below. The key $K_{1}$ has been kept closed for a long time. Then at…

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…

A $10\Omega\,$ resistance is connected across$220V-50\mathrm{Hz}$AC supply. The time taken by the current to change from its maximum value to the $\mathrm{rms}$ value is:

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…

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.…

For a series $LCR$circuit, $I$ vs $\omega\,$curve is shown (a)To the left of$\omega\,_{r}$, the circuit is mainly capacitive. (b)To the left of$\omega\,_{r}$, the circuit is mainly inductive. (c)At$\omega\,_{r}$,…

In an$\text{A.C.}$ circuit, the instantaneous e.m.f. and current are given by,$E=100\sin\,30t$$,I=20\sin\,\left(30t-\frac{\pi\,}{4}\right)$. In one cycle of $\text{A.C.}$, the average power consumed by the circuit (in…

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

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…