JEE Main Physics: AC Circuits Practice Questions

26 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$An alternating current is given by the equation I = 10 sin(314t). What is the frequency of this current in Hertz?$
Easy
Q2.
$In a pure resistive AC circuit, what is the phase difference between the voltage and the current?$
Easy
Q3.
$What is the inductive reactance of an inductor of 0.1 Henry at a frequency of 50 Hertz?$
Easy
Q4.
$T h er oo t m e an s q u a r e v a l u eo f ana l t er na t in g c u r r e n t i sr e l a t e d t o t h e p e ak c u r r e n t I_{0} b y w hi c h f or m u l a ?$
Easy
Q5.
$In a series LCR circuit at resonance, what is the power factor of the circuit?$
Easy
Q6.
$In an LCR series circuit, the resonance frequency is f. If the capacitance is made 4 times its initial value, what will be the new resonance frequency?$
Medium
Q7.
$A resistor of 10 ohms and an inductor of 0.1 H are connected in series to a 50 V, 50 Hz AC source. What is the phase angle between the voltage and the current?$
Medium
Q8.
$An AC voltage V = 100 sin(100t) is applied to a capacitor of 1 microfarad. What is the peak current in the circuit?$
Medium
Q9.
$In an AC circuit, the voltage and current are given by V = 100 sin(100t) and I = 100 sin(100t + pi/3). What is the power factor of the circuit?$
Medium
Q10.
$An AC source with voltage V = V0 sin(omega t) is connected to a series LCR circuit. If the frequency of the source is varied, the power factor of the circuit is$
Hard
Q11.
$In an LCR series circuit, the resonance frequency is f0. If the capacitor is replaced by two capacitors of the same capacitance connected in parallel, the new r$
Hard
Q12.
$A series LCR circuit is connected to an AC voltage source. At resonance, the voltage across the inductor is 100V. If the quality factor of the circuit is 10, wh$
Hard
Q13.
$An inductor of inductance Land a resistor of resistance Rare connected in series to an AC source of voltage V = V0 sin(omega t). The current in the circuit is I$
Hard
Q14.
$In an AC circuit, the instantaneous current is given by i = 4 sin(100 pit + pi/3) amperes. What is the RMS value of the current?$
Hard
Q15.
$In a series LCR circuit at resonance, the quality factor Q is given by which expression?$
Medium
Q16.
$A series LCR circuit has a resistance of 10 ohms and an impedance of 20 ohms. What is the phase angle between the voltage and current?$
Medium
Q17.
$An AC source of voltage V = 200 sin(100t) is connected to a series LCR circuit with L = 2 H, C = 50 microfarads, and R = 10 ohms. What is the average power diss$
Medium
Q18.
$An inductor of 1 His connected to a 200 V, 50 Hz AC supply. The current flowing through the inductor is:$
Medium
Q19.
$In an AC circuit, the voltage and current are given by V = 100 sin(100t) and I = 100 sin(100t + pi/3). The power factor of the circuit is:$
Medium
Q20.
$In an LCR series circuit, the resonance frequency is f0. If the capacitor is replaced by two capacitors of the same capacitance connected in parallel, the new r$
Hard
Q21.
$In an AC circuit, the instantaneous current is given by I = 10 sin(314t + pi/3) amperes. What is the RMS value of the current and the frequency of the AC source$
Hard
Q22.
$An inductor of inductance Land resistor of resistance Rare connected in series to an AC source of voltage V = V0 sin(omega t). The current in the circuit is I =$
Hard
Q23.
$A series LCR circuit is connected to an AC voltage source. When the capacitor is removed, the phase difference between current and voltage is pi/3. When the ind$
Hard
Q24.
$In an AC circuit, the root mean square value of the current is related to the peak current by which factor?$
Easy
Q25.
$In a pure inductive circuit, what is the phase relationship between the voltage and the current?$
Easy
Q26.
$What is the power factor of a purely resistive AC circuit?$
Easy

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