Alternating Current · Question 34

In an electrical circuit R, L, C and a.c. voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is 3. If instead, C is removed from the circuit, the phase difference is again 3. The power factor of the circuit is

1. 12
2. 1 2
3. 1
4. 32

The r.m.s. value of potential difference V shown in the figure is [figure]

1. V0 3
2. V0
3. V0 2
4. V02

A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be

1. 2.0 A
2. 4.0 A
3. 8.0 A
4. 20 13 A

An ac voltage is applied to a resistance R and an inductor L in series. If R and the inductive reactance are both equal to 3 Ω, the phase difference between the applied voltage and the current in the circuit is

1. /6
2. /4
3. /2
4. zero

In the ac circuit an alternating voltage e = 200 2 sin 100t volts is connected to a capacitor of capacity 1 . The r.m.s. value of the current in the circuit is

1. 10 mA
2. 100 mA
3. 200 mA
4. 20 mA

A condenser of capacity C is charged to a potential difference of V1. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V2 is

1. ( C(V1-V2)2L ) 12
2. C (V12-V22 )L
3. C (V12+V22 )L
4. ( C (V12-V22 )L ) 12

In the given circuit the readings of voltmeters V1 and V2 are 300 volts each. The readings of the voltmeter V3 and ammeter A are respectively [figure]

1. 150 V, 2.2 A
2. 220 V, 2.2 A
3. 220 V, 2.0 A
4. 100 V, 2.0 A

A 220 volt input is supplied to a transformer. The output circuit draws a current of 2.0 ampere at 440 volts. If the efficiency of the transformer is 80%, the current drawn by the primary windings of the transformer is

1. 3.6 ampere
2. 2.8 ampere
3. 2.5 ampere
4. 5.0 ampere

Power dissipated in an LCR series circuit connected to an A.C. source of emf is

1. 2 [R2 + (L - 1C )2 ]R
2. 2 R2 + (L - 1C )2R
3. 2 R R2 + (L - 1C )2
4. 2 R [R2 + (L - 1C )2 ]

In an a.c. circuit the e.m.f. ( ) and the current (i) at any instant are given respectively by = E0 sin t, i = I0 sin( t - ) The average power in the circuit over one cycle of a.c. is

1. E0I02
2. E0I0
3. E0I02
4. E0I02