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NEET Physics: Capacitors and energy storage Practice Questions

13 free multiple-choice questions on Capacitors and energy storage (Electrostatics) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.

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  1. Q1. If the charge stored in a capacitor is Q, and the potential difference across it is V, how is the capacitance C related to Q and V?

    • AC = QV
    • BC = V/Q
    • CC = Q/V
    • DC = Q²/V
    Show answer & explanation

    Correct answer: C — C = Q/V

    By definition, capacitance is the ratio of the charge (Q) stored on the plates to the potential difference (V) between the plates, so C = Q/V.

  2. Q2. What is the energy stored in a capacitor?

    • AV/C
    • B1/2 CV²
    • CCV²
    • DI²R
    Show answer & explanation

    Correct answer: B — 1/2 CV²

    The energy (U) stored in a capacitor is given by the formula U = 1/2 CV², where C is the capacitance and V is the potential difference across the capacitor.

  3. Q3. When capacitors are connected in parallel, which quantity remains the same for each capacitor in the combination?

    • APotential Difference
    • BCharge
    • CEnergy stored
    • DCapacitance
    Show answer & explanation

    Correct answer: A — Potential Difference

    When capacitors are connected in parallel, the potential difference (voltage) across each capacitor remains the same as the source voltage. This is the defining characteristic of a parallel connection.

  4. Q4. In a parallel arrangement of capacitors, how is the equivalent capacitance calculated?

    • ASum of individual capacitances
    • BProduct of individual capacitances
    • CArithmetic mean
    • DReciprocal of the sum of reciprocals
    Show answer & explanation

    Correct answer: A — Sum of individual capacitances

    For capacitors connected in parallel, the equivalent capacitance (C₍eq)) is the algebraic sum of the individual capacitances: C₍eq) = C₁ + C₂ + C₃ + ...

  5. Q5. If the potential difference across a capacitor is doubled while the charge remains constant, how does the stored energy change?

    • AIt is doubled
    • BIt remains the same
    • CIt is halved
    • DIt is quadrupled
    Show answer & explanation

    Correct answer: D — It is quadrupled

    The energy stored is given by E = 1/2 C V². If V is doubled and C is constant, the new energy is E' = 1/2 C (2V)² = 4 (1/2 C V²) = 4E. The energy is quadrupled.

  6. Q6. If two capacitors C₁ = 4μF and C₂ = 6μF are connected in series, what is the equivalent capacitance?

    • A1.5μF
    • B10μF
    • C2.4μF
    • D2μF
    Show answer & explanation

    Correct answer: C — 2.4μF

    For capacitors in series, 1/(C₍eq)) = 1/C₁ + 1/C₂. 1/(C₍eq)) = 1/4 + 1/6 = (3+2)/12 = 5/12. C₍eq) = 12/5 = 2.4μF.

  7. Q7. What is the fundamental physical quantity that defines the ability of a capacitor to store charge?

    • ACapacitance
    • BPotential Difference
    • CCharge
    • DEnergy
    Show answer & explanation

    Correct answer: A — Capacitance

    Capacitance (C) is the measure of the ratio of the charge stored on a capacitor to the potential difference (voltage) across its plates. It is the fundamental property defining its storage capability.

  8. Q8. What is the physical quantity that represents the ability of a capacitor to store charge at a given potential difference?

    • AResistance
    • BCapacitance
    • CPotential Energy
    • DCharge
    Show answer & explanation

    Correct answer: B — Capacitance

    Capacitance (C) is defined as the ratio of the charge (Q) stored on the plates to the potential difference (V) between the plates (C=Q/V).

  9. Q9. What is the unit of capacitance in the SI system?

    • AVolt
    • BAmpere
    • CFarad
    • DJoule
    Show answer & explanation

    Correct answer: C — Farad

    Capacitance is the ratio of charge to potential difference (C = Q/V). The SI unit for capacitance is the Farad (F).

  10. Q10. What is the SI unit of capacitance?

    • AVolt
    • BJoule
    • CCoulomb per meter
    • DFarad
    Show answer & explanation

    Correct answer: D — Farad

    The SI unit of capacitance is the Farad (F).

  11. Q11. Capacitance is a property of the capacitor. What physical quantity does capacitance fundamentally relate?

    • AMass and Velocity
    • BCurrent and Resistance
    • CCharge and Potential difference
    • DForce and Distance
    Show answer & explanation

    Correct answer: C — Charge and Potential difference

    Capacitance is defined as the ratio of the charge (Q) stored on the plates to the potential difference (V) between them: C = Q/V.

  12. Q12. If the voltage across a capacitor is kept constant, the energy stored in it is directly proportional to:

    • AThe reciprocal of the capacitance
    • BThe charge on the plate
    • CThe capacitance itself
    • DThe square of the capacitance
    Show answer & explanation

    Correct answer: D — The square of the capacitance

    The energy stored is E = 1/2 C V². If V is constant, E ∝ C. Therefore, the energy stored is directly proportional to the capacitance.

  13. Q13. If two identical capacitors are connected in parallel, how does the total capacitance change?

    • AIt remains the same
    • BIt quadruples
    • CIt decreases
    • DIt doubles
    Show answer & explanation

    Correct answer: D — It doubles

    For capacitors in parallel, the total capacitance is the sum of individual capacitances, which leads to an increase if the components are identical.

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