Capacitors with Dielectrics questions with solutions

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• MCQmediumCapacitorCapacitors with Dielectrics

  Two identical capacitors are connected in series as shown. A dielectric slab (K > 1) is inserted between the plates of capacitor B while the battery remains connected. Select the correct statement.

  

  Options

  • Option A

    The charge supplied by the battery increases.

  • Option B

    The capacitance of the system decreases.

  • Option C

    The electric field in capacitor B increases.

  • Option D

    The electrostatic potential energy decreases.

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• MCQeasyCapacitorCapacitors with Dielectrics

  A parallel plate condenser with oil (dielectric constant K = 2) between plates has capacitance C. If oil is removed, capacitance of the capacitor becomes:

  Options

  • Option A

    √2 C

  • Option B

    C/2

  • Option C

    2C

  • Option D

    C/√2

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• MCQmediumCapacitorCapacitors with Dielectrics

  A capacitor stores 60 μC when connected to a battery. A dielectric is inserted while the capacitor remains connected, and 120 μC additional charge flows through the battery. The dielectric constant is:

  Options

  • Option A

    1

  • Option B

    2

  • Option C

    3

  • Option D

    None

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• MCQmediumCapacitorCapacitors with Dielectrics

  A parallel-plate capacitor is half-filled with dielectric constants ε₁ and ε₂ in two different configurations shown in the original figure. In configuration 1 the two dielectric layers divide the plate separation equally; in configuration 2 they divide the plate area equally. If the corresponding capacitances are C₁ and C₂, then C₁/C₂ is:

  

  Options

  • Option A

    4ε₁ε₂/(ε₁+ε₂)²

  • Option B

    ε₀(ε₁+ε₂)/2

  • Option C

    ε₁ε₂²/(ε₁+ε₂)²

  • Option D

    ε₁ε₂/(ε₁+ε₂)

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  JEE Mains 2025 3 April Morning Shift

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• MCQmediumCapacitorCapacitors with Dielectrics

  Consider a capacitor connected with a battery, capacitor is in steady state. Now plates of capacitor are drawn apart so as to double the separation in two cases. Case : (i) Battery remains connected (ii) Battery is disconnected Mark the CORRECT statement:

  Options

  • Option A

    In case (i) energy of capacitor increases

  • Option B

    In case (i) work done by battery is positive

  • Option C

    In case (ii) energy of capacitor increases

  • Option D

    In case (ii) potential difference across capacitor decreases

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• NumericmediumCapacitorCapacitors with Dielectrics

  A parallel plate capacitor of capacitance 12.5 pF is charged by a battery connected between its plates to potential difference of 12.0 V. The battery is now disconnected and a dielectric slab (εᵣ = 6) is inserted between the plates. The change in its potential energy after inserting the dielectric slab is ______ × 10⁻¹² J.

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• MCQmediumCapacitorCapacitors with Dielectrics

  The equivalent capacitance between A and B for the shown network of 1 μF and 2 μF capacitors is:

  

  Options

  • Option A

    2/3 μF

  • Option B

    5/3 μF

  • Option C

    8/3 μF

  • Option D

    7/3 μF

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• MCQmediumCapacitorCapacitors with Dielectrics

  In the adjoining figure, capacitors (1) and (2) each have capacitance C. A dielectric of dielectric constant K is inserted between the plates of one capacitor. The total charge flowing through the battery is:

  

  Options

  • Option A

    KCE/(K+1), from B to C

  • Option B

    KCE/(K+1), from C to B

  • Option C

    (K-1)CE/[2(K+1)], from B to C

  • Option D

    (K-1)CE/[2(K+1)], from C to B

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• NumericmediumCapacitorCapacitors with Dielectrics

  A capacitor stores 60µC charge when connected across a battery. When the gap between the plates is filled with a dielectric, a charge of 120µC flows through the battery. The dielectric constant of the material inserted is :

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• MCQmediumCapacitorCapacitors with Dielectrics

  A parallel plate capacitor is connected from a cell and then isolated from it. Two dielectric slabs of dielectric constant K and 2K are now introduce in the region between upper half and lower half of the plate (as shown in figure). The electric field intensity in upper half of dielectric is E₁ and lower half is E₂ then

  

  Options

  • Option A

    E₁ = 2 E₂

  • Option B

    Electrostatic potential energy of upper half is less than that of lower half

  • Option C

    Induced charges on both slabs are same

  • Option D

    Charge distribution on the plates remains same after insertion of dielectric

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