Electrostatic questions with solutions

Showing 1–10 of 511 questions

• MCQmediumElectrostaticElectric Dipole & Dipole Moment

  An electric dipole has fixed dipole moment 𝐩 making angle θ with the x-axis. In the electric field $\vec{E_1}$= E$\hat{i}$, it experiences torque $\vec{T_1}$= τ$\hat{k}$. In another field $\vec{E_2}$= √3E$\hat{j}$, it experiences torque $\vec{T_2}$= -$\vec{T_1}$. Find θ.

  Options

  • Option A

    60°

  • Option B

    90°

  • Option C

    30°

  • Option D

    45°

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• MCQdifficultElectrostaticConductors & Electrostatic Properties

  A conducting spherical shell has inner radius a and outer radius b and carries net charge Q. A point charge q is fixed at the centre of its cavity. The electrostatic energy stored in the electric field within the conducting material a<r<b is:

  Options

  • Option A

    q²/(8πε₀)(1/a-1/b)

  • Option B

    Q²/(8πε₀)(1/a-1/b)

  • Option C

    0

  • Option D

    qQ/(4πε₀b)

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• NumericmediumElectrostaticElectric Potential & Potential Energy

  A charge q is uniformly distributed over a disc of radius R. A circular hole of radius R/2 is punched out, taking one radius of the original disc as the diameter of the hole. The potential at the centre of the original disc due to the remaining part is nV₀, where V₀ = [q/(2πε₀R)](1 - 1/π). Find n.

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• MCQmediumElectrostaticElectric Potential & Potential Energy

  Consider an electric field with components Eₓ = -Ky, Eᵧ = Kx, and zero z-component. (I) The field is conservative. (II) The field is non-conservative. (III) The field lines are straight lines. (IV) The field lines are circles. Which conclusions are valid?

  Options

  • Option A

    II and IV

  • Option B

    I and III

  • Option C

    I and IV

  • Option D

    II and III

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• MCQeasyElectrostaticElectric Dipole & Dipole Moment

  An electric dipole has magnitude of its charge q and a dipole moment p. It is placed in a uniform electric field E. If its dipole moment is antiparallel to field, its potential energy is:

  Options

  • Option A

    2q.E and minimum

  • Option B

    qE and p.E

  • Option C

    Zero and minimum

  • Option D

    p.E and maximum

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• MCQmediumElectrostaticElectric Potential & Potential Energy

  1. Consider the configuration of a system of four charges each of value +q. Find the work done by external agent in changing the configuration of the system from figure (i) to fig (ii).

     

  Options

  • Option A

    -(kq²/a)(3-√2)

  • Option B

    -(-(kq²/a)(3-√2))

  • Option C

    2×(-(kq²/a)(3-√2))

  • Option D

    (-(kq²/a)(3-√2))/2

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• Multi-correctmediumElectrostaticElectric Flux & Gauss’s Law

  Consider a Gaussian surface as shown. A and C are the circular faces while B is the curved surface. A charge q is moved along the axis of cylinder with constant velocity v. Choose the correct variation of flux through the surface / cylinder.

  

  Select all that apply

  • Option A

    Flux through the cylinder

    
  • Option B

    Through surface A

    
  • Option C

    Through surface C

    
  • Option D

    Through surface B

    

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• MCQmediumElectrostaticElectrostatic Self-Energy & Equipotential Surfaces

  1. The figure shows two equipotential lines in the xy-plane. The x-component Eₓ and y-component Eᵧ of the electric field in the region between these equipotential lines are, respectively:

     

  Options

  • Option A

    +100 V m⁻¹, -200 V m⁻¹

  • Option B

    -100 V m⁻¹, +200 V m⁻¹

  • Option C

    +200 V m⁻¹, +100 V m⁻¹

  • Option D

    -200 V m⁻¹, -100 V m⁻¹

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• MCQmediumElectrostaticElectric Flux & Gauss’s Law

  The electric field inside a sphere which carries a charge density proportional to the distance from the origin ρ = α r (α is a constant) is:

  Options

  • Option A

    $\frac{\alpha r^3}{4\varepsilon_{\omicron}}$

  • Option B

    $\frac{\alpha r^2}{4\varepsilon_{\omicron}}$

  • Option C

    $\frac{\alpha r^2}{3\varepsilon_{\omicron}}$

  • Option D

    None of these

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• MCQdifficultElectrostaticElectric Charge & Coulomb’s Law

  A fixed smooth non-conducting track is a quarter circle of radius R in a vertical plane. A small metal ball A is fixed at the bottom. An identical ball B can move on the track. Initially A and B are in contact and a total charge Q is given to A, which is shared equally, so each ball gets Q/2. Ball B finally comes to rest at a point where radius OB makes angle θ (<90°) with the downward vertical. Each ball has mass m. The charge Q is:

  

  Options

  • Option A

    8R√(2πε₀mg) · sin³ᐟ²(θ/2)

  • Option B

    4R√(2πε₀mg) · sin³ᐟ²(θ/2)

  • Option C

    8R√(πε₀mg) · sin(θ/2)

  • Option D

    4R√(πε₀mg) · sin³ᐟ²θ

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