Electrostatic questions with solutions

Showing 1–10 of 444 questions

• MCQmediumElectrostatic

  A charge q is placed at the center of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to

  Options

  • Option A

    -Q/2

  • Option B

    -Q/4

  • Option C

    +Q/4

  • Option D

    +Q/2

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• NumericmediumElectrostatic

  In space, a spherically symmetric charge distribution has radial charge density ρ(r) = ρ₀ e⁻ʳᐟ²ᵃ / r². The total charge is Q. Find Q/(ρ₀πa).

  

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• MCQmediumElectrostatic

  Three point charges 2q, -q and -q are located at (0, a, a), (0, a, -a) and (0, 0, -a), respectively, as shown. The dipole moment of this distribution is:

  

  Options

  • Option A

    2qa in the y-z plane at tan⁻¹(1/4) with the z-axis

  • Option B

    √17 qa in the y-z plane at tan⁻¹(1/4) with the z-axis

  • Option C

    √5 qa in the x-y plane at tan⁻¹(4) with the y-axis

  • Option D

    4qa in the x-y plane at tan⁻¹(4) with the y-axis

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• MCQmediumElectrostaticpotential energy and electric potential

  Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant bigger bubble is :

  Options

  • Option A

    1 : ∛3

  • Option B

    1 : ∛4

  • Option C

    ∛9 : 1

  • Option D

    1 : ∛9

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  JEE Mains 202622 January Evening Shift

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• IntegermediumElectrostaticconductor and its properties

  Three concentric spherical metallic shells X, Y and Z of radii a, b and c (a < b < c) have surface charge densities +σ, -σ and +σ respectively. Shells X and Z are at the same potential. If a = 2 cm and b = 3 cm, find c in cm.

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• MCQmediumElectrostatic

  Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1 m symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is

  

  Options

  • Option A

    $\frac{Q}{\varepsilon_{\omicron}}$

  • Option B

    $\frac{100Q}{\varepsilon_{\omicron}}$

  • Option C

    $\frac{10Q}{\pi\varepsilon_{\omicron}}$

  • Option D

    $\frac{100Q}{\pi\varepsilon_{\omicron}}$

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• MCQmediumElectrostaticconductor and its properties

  Charge is transferred to an irregular metallic disc as shown in the original figure. If σ₁, σ₂, σ₃ and σ₄ are the surface charge densities at the marked points, choose the correct set of statements: (A) σ₁ > σ₃ and σ₂ = σ₄; (B) σ₁ > σ₂ and σ₃ > σ₄; (C) σ₁ > σ₃ > σ₂ = σ₄; (D) σ₁ < σ₃ < σ₂ = σ₄; (E) σ₁ = σ₂ = σ₃ = σ₄.

  

  Options

  • Option A

    A, B and C only

  • Option B

    A and C only

  • Option C

    D and E only

  • Option D

    B and C only

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• MCQmediumElectrostaticelectric charge and coulamb's law

  In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of:

  Options

  • Option A

    10³⁹

  • Option B

    10¹⁹

  • Option C

    10²⁹

  • Option D

    10³⁶

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• MCQmediumElectrostatic

  A point positive charge q₀ is placed at a point C inside the cavity in a neutral spherical conductor as shown in figure. Find the potential at P :-

  

  Options

  • Option A

    $\frac{Kq_{\omicron}}{2a}$

  • Option B

    $\frac{Kq_{\omicron}}{a}$

  • Option C

    $\frac{2Kq_{\omicron}}{a}$

  • Option D

    $\frac{3Kq_{\omicron}}{2a}$

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• MCQmediumElectrostatic

  Two-point charge of 100 μC and -4 μC are positioned at points (-2√3, 3√3, -4) and (4√3, -5√3, 6) respectively of a Cartesian coordinate system. Find the force vector on the -4 μC charge? All the coordinates are in meters.

  Options

  • Option A

    9 × 10⁻⁴(3√3$\hat{i}$-4√3$\hat{j}$+ 5$\hat{k}$)

  • Option B

    9 × 10⁻⁴(-3√3$\hat{i}$+ 4√3$\hat{j}$ -5$\hat{k}$)

  • Option C

    2.25 × 10⁻⁴(-3√3$\hat{i}$+ 4√3$\hat{j}$ -5$\hat{k}$)

  • Option D

    2.25 × 10⁻⁴(3√3$\hat{i}$ -4√3$\hat{j}$+ 5$\hat{k}$)

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