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AC Circuits

AC Circuits

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Every question from past board papers on AC Circuits, newest paper first. Open any question for its full worked answer.

Maharashtra HSC Physics Board Paper March 2026 with Solutions

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  1. Q.1 (x) In series LCR circuit for \(X_L > X_C\), \(\tan\phi\) will be _____.

    1 mark · See worked answer →

  2. Q.14 An inductor of inductance 200 mH is connected to an A.C. source of peak e.m.f. 220 V and frequency 50 Hz. Calculate the peak current in the circuit.

    2 marks · See worked answer →

  3. Q.16 Derive an expression for resonant frequency of series resonant circuit.

    3 marks · See worked answer →

Maharashtra HSC Physics Board Paper June 2026 with Solutions

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  1. Q.1 (v) In a purely inductive and capacitive circuit, power factor is, _____

    1 mark · See worked answer →

  2. Q.14 An alternating voltage source given by \(e=140\sin(314.2\,t)\) is connected across a pure resistor of 50 \(\Omega\). Determine :
    (i) Frequency of the source.
    (ii) RMS value of emf.

    2 marks · See worked answer →

  3. Q.21 Define the terms :
    (a) Inductive reactance
    (b) Capacitive reactance
    (c) Impedance

    3 marks · See worked answer →

Maharashtra HSC Physics Board Paper March 2025 with Solutions

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  1. Q.10 In a series LCR circuit, if resistance, inductive reactance and capacitive reactance are 3 \(\Omega\), 8 \(\Omega\) and 4 \(\Omega\) respectively, calculate phase difference between voltage and current.

    2 marks · See worked answer →

  2. Q.28 Obtain an expression for average power dissipated in a series LCR circuit.

    4 marks · See worked answer →

Maharashtra HSC Physics Board Paper July 2025 with Solutions

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  1. Q.10 In a purely resistive circuit a source of e.m.f. having \(e = 140\sin(3142t)\) is connected across a pure resistor. If value of rms current is 1.98 A, calculate the value of resistance.

    2 marks · See worked answer →

  2. Q.28 Using phasor diagram for a series LCR circuit, obtain an expression for impedance. Define admittance.

    4 marks · See worked answer →

Maharashtra HSC Physics Board Paper March 2024 with Solutions

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  1. Q.21 Derive an expression for the impedance of an LCR circuit connected to an AC power supply. Draw phasor diagram.

    3 marks · See worked answer →

  2. Q.26 An alternating voltage is given by \(e = 8\sin 628.4t\). Find
    (i) peak value of e.m.f.
    (ii) frequency of e.m.f.
    (iii) instantaneous value of e.m.f. at time t = 10 ms.

    3 marks · See worked answer →

Maharashtra HSC Physics Board Paper July 2024 with Solutions

Full paper →

  1. Q.1 (ix) In a series LCR circuit the phase difference between the voltage and the current is 45º. Then the power factor will be ____.

    1 mark · See worked answer →

  2. Q.8 State the formula for the following :
    (a) Average power in LCR circuit
    (b) Q-factor

    2 marks · See worked answer →

  3. Q.17 Derive an expression for the impedance of a series LCR circuit connected to an AC power supply.

    3 marks · See worked answer →