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Agniveer (All) Alternating Current

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This page covers Agniveer (All) Alternating Current with complete concept notes, 18 graded practice MCQs, key points and exam-specific tips. Free to study.

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Practice MCQs

Alternating Current — Practice Questions

18graded MCQs · easy to hard · full solution & trap analysis

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Practice 1easy

An alternating current is represented as i = 10 sin(100πt) amperes. What is the RMS value of this current?

Practice 2easy

A sinusoidal AC voltage has a peak value of 220 V. What is its RMS voltage?

Practice 3easy

The frequency of an alternating current in India is 50 Hz. What is its time period?

Practice 4easy

An AC circuit has a pure resistor of 50 Ω connected to an AC source of RMS voltage 200 V. What is the RMS current through the resistor?

Practice 5easy

The equation of an alternating EMF is ε = 150 sin(314t) volts. What is the frequency of this AC source?

Practice 6medium

An alternating current is represented as I = 10 sin(100πt) amperes. What is the RMS value of this current?

Practice 7medium

The peak voltage of an AC source is 220√2 volts. What is the RMS voltage?

Practice 8medium

An AC circuit has a purely resistive load of 50 Ω connected to a 100 V (RMS) source. What is the average power consumed?

Practice 9medium

In an AC circuit, a pure inductor of inductance 0.5 H is connected to a 50 Hz source. What is the inductive reactance?

Practice 10medium

A capacitor of 100 μF is connected to a 60 Hz AC source. Calculate the capacitive reactance.

Practice 11medium

In an LCR circuit, resonance occurs when the frequency is 500 Hz, L = 0.1 H, and C = 10 μF. Which statement is correct at resonance?

Practice 12medium

An AC voltage V = 150 sin(314t) volts is applied across a 30 Ω resistor. What is the peak current through the resistor?

Practice 13medium

In a purely inductive AC circuit, what is the phase difference between current and voltage?

Practice 14medium

An AC source supplies 500 W average power to a circuit with power factor 0.8. What is the apparent power?

Practice 15hard

An alternating voltage V = 220 sin(100πt) volts is applied across a pure resistor of 44 Ω. What is the RMS current through the resistor?

Practice 16hard

In an LCR series circuit with R = 10 Ω, L = 0.1 H, C = 100 μF, and angular frequency ω = 100 rad/s, what is the impedance of the circuit?

Practice 17hard

A coil of self-inductance L = 2 H carries an alternating current I = 5 sin(50t) A. What is the maximum induced EMF in the coil?

Practice 18hard

An AC generator produces an EMF with peak voltage V₀ = 300 V and frequency f = 50 Hz. How many times does the instantaneous voltage equal the RMS voltage in one complete cycle?

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