The instantaneous values of alternating

current and voltages in a circuit are given

as 

i=12sin(100πt) ampere
e=12sin(100πt+π/3) volt

The average power in Watts consumed in the

circuit is

(a) 14

(b) 34

(c) 12 

(d) 18

Subtopic:  Different Types of AC Circuits |
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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 \(3~ \Omega, \) then the phase difference between the applied voltage and the current in the circuit will be:

1. \( \pi / 4\) 2. \( \pi / 2\)
3. zero 4. \( \pi / 6\)
Subtopic:  Different Types of AC Circuits |
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The rms value of potential difference V shown in the figure is

                        

(1) Vo                                                     

(2) Vo2

(3)Vo2                                                     

(4) Vo3   

Subtopic:  RMS & Average Values |
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A coil has resistance 30 Ω and inductive reactance 20 Ω at 50 Hz frequency. If an AC source of 200 V, 100 Hz, is connected across the coil, the current in the coil will be:

 1. 4.0 A                                           

 2. 8.0 A

 3. 2013A                                         

 4. 2.0 A

Subtopic:  Different Types of AC Circuits |
From NCERT
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A 220V input is supplied to a transformer.The output circuit draws a current of 2.0A at 440V. If the efficiency of the transformer is 80%, the current drawn by the primary windings of the transformer is 

1. 3.6A                                        2. 2.8A

3. 2.5A                                        4. 5.0A

Subtopic:  Transformer |
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Power dissipated in an L-C-R series circuit connected to an AC source of emf ε is 

(a) ε2RR2+Lω-1Cω2

(b) ε2R2+Lω-1Cω2R

(c) ε2R2+Lω-1Cω2R

(d) ε2RR2+Lω-1Cω2

Subtopic:  Different Types of AC Circuits |
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In AC circuit the emf (e) and the current (i) at any instant are given respectively by

e=Eo sin ωt

i=Iosin (ωt-ϕ)

The average power in the circuit over one cycle of AC is 

(1)EoIo2

(2) EoIo2sin ϕ

(3) EoIo2cos ϕ

(4) EoIo

 

Subtopic:  Different Types of AC Circuits |
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In an electrical circuit R, L, C, and an AC 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 π/3. If instead, C is removed from the circuit, the phase difference is again π/3. The power factor of the circuit is

(1) 1/2                                           

(2) 1/2

(3) 1                                             

(4) 3/2

Subtopic:  Different Types of AC Circuits |
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A coil of self-inductance L is connected in series with a bulb B and an AC source. The brightness of the bulb decreases when:

1. Frequency of the AC source is decreased
2. The number of turns in the coil is reduced
3. A capacitance of reactance Xc=XL is included in the same circuit
4. An iron rod is inserted in the coil
Subtopic:  Different Types of AC Circuits |
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A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6A, the voltage across the secondary coil and the current in the primary coil respectively are
1. 300V,15A
2. 450V,15A

3. 450V,13.5A

4. 600V,15A

Subtopic:  Transformer |
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