Alternating Current MCQs for NEET — Physics Questions with Answers

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A transformer has an efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6 A the voltage across the secondary coil and the current in the primary coil respectively are:

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Explanation

Current in primary coil = P/V = 3000/200 = 15A


efficiency is 90%


So output power is 90% of input


Po = (90/100)x3000


If output voltage and current - VoIo


VoIo =(90/100)x3000


Vox6=(90/100)x3000


Vo = 450 V

The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the magnetic flux Ï• linked with the primary coil is given by Ï•=ϕ0+4t, where Ï• is in weber, t is time in second and Ï•0is a constant, the output voltage across the secondary coil is:

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Explanation

The mutual inductance between primary and secondary coils of a transformer is given by M = N1N2/R, where N1 and N2 are the number of turns in primary and secondary coils respectively, and R is a constant. The induced emf in the secondary coil is given by e = -Mdϕ/dt = -M(d/dt)(ϕ0 + 4t) = -4MN, where N is the number of turns per unit time. Substituting the given values, we get the output voltage across the secondary coil as 120 V.

If the current in an AC circuit is given as i=5Asinωt-π3 when an emf e=200Vsinωt is applied across the circuit. The circuit having component only

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Explanation

2In LR circuit voltage leads curent with phase ϕ where tanϕ = ωLR

A step-down transformer is employed to reduce the main supply of AC from 220V to 11V. If the primary coil draws a current of 5A and the secondary supplies a current of 90A, then the efficiency of the transformer is  -

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Explanation

3Efficiency ε = VoIoViIi ×100= 11 x 90220 x 5 ×100= 90%

At resonance, the value of the power factor of the circuit is -

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Explanation

1At resonance R = ZPower factor cos ϕ = RZ = 1

In a LCR circuit having L = 8.0 henry, C = 0.5 μF and R = 100 Ω in series, the resonance frequency (in Hz) is 

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Explanation

1ν=12πLC

In a LCR series network, VL=40 V, VC=20 V and VR=15 V. The supply voltage is

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Explanation

1V = VL - VC2 + VR2

The ratio of the number of turns in secondary to primary in an ideal transformer varies from 50 to 550. If the power input is P, then its output power is  -

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Explanation

The efficiency of the ideal transformer is 1.

Loss in energy in the transformer is due to 

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Explanation

4.  All of these

An alternating current is given as i = i1 cos ωt - i2 sin ωt. The rms current is given by

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Explanation

i=i1cosωt-i2cosωt-π2Here, angle between i1 and i2=π2inet=i12+i22+2i1i2cosπ2=i12+i22irms=i12+i222

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