parallel plate capacitor ,cylindrical capacitor and spherical capacitor questions with solutions

Showing 1–5 of 5 questions

• MCQeasyCapacitorparallel plate capacitor ,cylindrical capacitor and spherical capacitor

  The energy density between the plates of a parallel-plate capacitor having potential difference V and plate separation d is:

  Options

  • Option A

    ε₀V²/(2d²)

  • Option B

    ε₀Vd²/2

  • Option C

    ε₀AV²/(2d)

  • Option D

    ε₀AV²/(2d²)

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  JEE Mains 2025 29 Jan Evening Shift

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• MCQeasyCapacitorparallel plate capacitor ,cylindrical capacitor and spherical capacitor

  An isolated conducting sphere of capacitance 100 pF is charged to a potential of 100 V. A second identical uncharged metal sphere is brought into contact with it. After charge redistribution, the two identical spheres are at the same potential. If the magnitude of the decrease in total electrostatic energy is α × 10⁻⁷ J, what is α?

  Options

  • Option A

    5

  • Option B

    5 /2

  • Option C

    7/2

  • Option D

    9/2

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  JEE Mains 2026 6 April Evening Shift

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• MCQeasyCapacitorparallel plate capacitor ,cylindrical capacitor and spherical capacitor

  A parallel-plate capacitor initially has l=3 cm, b=1 cm and d=3 μm. Which changes increase its capacitance by a factor 10? A: l=6 cm,b=5 cm,d=3 μm; B: l=5 cm,b=2 cm,d=1 μm; C: l=5 cm,b=1 cm,d=30 μm; D: l=1 cm,b=1 cm,d=30 μm.

  Options

  • Option A

    A, B

  • Option B

    A, C

  • Option C

    B, C

  • Option D

    B, C, D

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  JEE Mains 2025 24 Jan Morning Shift

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• MCQmediumCapacitorparallel plate capacitor ,cylindrical capacitor and spherical capacitor

  A 1 μF parallel-plate capacitor is charged to 20 V. Plate separation is 10 μm. The charge density on the plates is:

  Options

  • Option A

    17.7 nC/m²

  • Option B

    17.7 μC/m²

  • Option C

    8.85 nC/m²

  • Option D

    4.42 μC/m²

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  JEE Mains 2025 29 Jan Evening Shift

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• MCQeasyCapacitorparallel plate capacitor ,cylindrical capacitor and spherical capacitor

  An electric dipole has charges ±2 μC separated by 0.5 μm. It is placed between capacitor plates separated by 0.5 mm with potential difference 5 V. If the dipole is rotated by 30° from the electric-field direction, the torque magnitude is:

  Options

  • Option A

    5×10⁻⁹ N·m

  • Option B

    5×10⁻³ N·m

  • Option C

    2.5×10⁻¹² N·m

  • Option D

    2.5×10⁻⁹ N·m

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  JEE Mains 2025 7 April Evening Shift

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