Capacitor questions with solutions

Showing 1–10 of 288 questions

• MCQmediumCapacitorRC Circuits: Charging & Discharging

  In the given circuit, the switch S is closed at time t = 0. The charge Q on the capacitor at any instant t is given by Q (t) = Q₀ (1 - e-αt). Find the value of Q₀ and α in terms of given parameters shown in the circuit.

  

  Options

  • Option A

    Q₀ = CVR₂/(R₁+R₂), α = (R₁+R₂)/(CR₁R₂)

  • Option B

    Q₀ = CVR₁/(R₁+R₂), α = (R₁+R₂)/(CR₁R₂)

  • Option C

    Q₀ = CVR₂/(R₁+R₂), α = CR₁R₂/(R₁+R₂)

  • Option D

    Q₀ = CV, α = 1/[C(R₁+R₂)]

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• Multi-correctmediumCapacitorCapacitor–Battery Connections & Charge Sharing

  Two equal capacitors C₁=C₂ are connected as shown. Initially C₁ is uncharged and C₂ carries charge Q₀ with energy U₀. After closing switch S, charges, voltages and energies become Q₁,Q₂; V₁,V₂; U₁,U₂. Which statements are correct?

  

  Select all that apply

  • Option A

    Q₀ = ½(Q₁+Q₂)

  • Option B

    Q₁=Q₂

  • Option C

    V₁=V₂

  • Option D

    U₁=U₂

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• Multi-correctmediumCapacitorCapacitor Circuit Analysis & Charge Flow

  In the given circuit diagram initially all the capacitors are uncharged. Now switch S is closed with position (1) and when steady state reached switch is shifted to position (2) from (1).

  

  Select all that apply

  • Option A

    Final charge on all three capacitors will be same.

  • Option B

    Final charge on capacitor Y is 4CE/3.

  • Option C

    Total heat developed after shifting the switch from position (1) to position (2) is 4CE².

  • Option D

    Total heat developed in the circuit from starting is 26CE²/3.

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• NumericeasyCapacitorCapacitor–Battery Connections & Charge Sharing

  A capacitor P with capacitance 10 × 10⁻⁶ F is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor P is connected across another capacitor Q with capacitance 20 × 10⁻⁶ F. The charge on capacitor Q when equilibrium is established will be α × 10⁻⁵ C (assume capacitor Q does not have any charge initially), the value of α is _______ .

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• MCQmediumCapacitorEquivalent Capacitance & Capacitor Networks

  In the shown capacitor network all capacitances are in mF. Find the equivalent capacitance between A and B, in mF.

  

  Options

  • Option A

    14/5

  • Option B

    7.5

  • Option C

    3/7

  • Option D

    None

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• MCQmediumCapacitorRC Circuits: Charging & Discharging

  In the RC circuit shown, the switch is closed at t = 0. The graphs of resistor voltage and capacitor voltage versus time are given. The time constant of the circuit is approximately:

  

  Options

  • Option A

    100 ms

  • Option B

    145 ms

  • Option C

    200 ms

  • Option D

    300 ms

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• MCQmediumCapacitorCapacitors with Dielectrics

  Statement 1: A capacitor is filled successively with conducting and dielectric sheets of equal thickness t<d, giving capacitances C₁ and C₂, and C₁<C₂. Statement 2: A metal sheet produces a larger capacitance effect than a dielectric sheet because an ideal conductor behaves as a medium of effectively infinite dielectric response compared with an ordinary dielectric. Choose the correct option.

  Options

  • Option A

    Both statements are true and Statement 2 correctly explains Statement 1.

  • Option B

    Both statements are true but Statement 2 does not correctly explain Statement 1.

  • Option C

    Statement 1 is true and Statement 2 is false.

  • Option D

    Statement 1 is false and Statement 2 is true.

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• MCQmediumCapacitorEquivalent Capacitance & Capacitor Networks

  A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C, then the resultant capacitance is :-

  Options

  • Option A

    (n - 1)C

  • Option B

    (n + 1)C

  • Option C

    C

  • Option D

    nC

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• Multi-correctmediumCapacitorRC Circuits: Charging & Discharging

  In the shown circuit, the ideal cell has emf 15 V and every resistor is 3 Ω. After a long time, the potential difference across the 3 μF capacitor is:

  

  Select all that apply

  • Option A

    0

  • Option B

    9 V

  • Option C

    12 V

  • Option D

    15 V

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• MCQeasyCapacitorCapacitor–Battery Connections & Charge Sharing

  A parallel-plate capacitor has plate area A, separation d and electric field E between the plates. Its stored energy is:

  Options

  • Option A

    (1/2)ε₀E²Ad

  • Option B

    (1/4)ε₀E²Ad

  • Option C

    ($\frac{3}{4}$)ε₀E²Ad

  • Option D

    ε₀E²Ad

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