Alternating Cur...

The self-inductance of the motor of an electric fan is 10H. In order to impart maximum power at 50 Hz, it should be connected to a capacitance of : (Take $${\pi}^2$$ = 10)

A circuit containing resistance $$R_{1}$$, Inductance $$L_{1}$$ and capacitance $$C_{1}$$ connected in series resonates at the same frequency $$n$$ as a second combination of  $$R_{2}$$, $$L_{2}$$ and$$C_{2}$$. If the two are connected in series, then the circuit will resonate at:

A 120V, 60Hz a.c. power is connected 800$$\Omega $$ non-inductive resistance and unknown capacitance in series. The voltage drop across the resistance is found to be 102V, then voltage drop across capacitor is

An alternating e.m.f. of $$E= 100 \sin(100 \pi$$t ) is connected to a choke of negligible resistance and current oscillations of amplitude 1 A are produced. The inductance of the choke should be

A coil has an inductance of 0.7H and is joined in series with a resistance of 220 $$\Omega $$ . When an alternating e.m.f. of 220V at 50 c.p.s. is applied to it, then the wattless component of the current in the circuit is

In the given circuit the readings of the voltmeter $$V_1$$ and the ammeter $$A$$ are:

Assertion: A resistance is connected to an ac source. Now a capacitor is included in the series circuit. The average power absorbed by the resistance will remain same.  

A certain choke coil of negligible resistance draws a current of 8A, when connected to a supply of 100 volts, at 50Hz. A certain non-inductive resistance, under the same conditions carries a current of 10 A. If the two are transferred to a supply system working at 150 V, at 40 Hz, the total current they will take if joined in series is

A capacitor has a resistance of $$1200  M\Omega$$ and capacitance of $$22  \mu F$$. When connected to an AC supply of frequency 80Hz, the alternating voltage supply required to drive a current of 10 virtual amperes is

The potential difference across a $$2  H$$ inductor as a function of time is shown in figure. At time $$t=0$$, current is zero. Current at $$t=2$$ second is: