Electric Dipole & Dipole Moment questions with solutions

Showing 1–10 of 51 questions

• MCQmediumElectrostaticElectric Dipole & Dipole Moment

  An electric dipole of moment p is placed in the field E(x)=E₀(1+αx) î with its dipole moment parallel to î. At x=0, the net force and torque on the dipole are:

  Options

  • Option A

    F=pαE₀ î, τ=0

  • Option B

    F=pE₀ î, τ=pαE₀

  • Option C

    F=0, τ=pE₀

  • Option D

    F=pα î, τ=0

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• MCQeasyElectrostaticElectric Dipole & Dipole Moment

  A short electric dipole has a dipole moment of 16 × 10⁻⁹ C m. The electric potential due to the dipole at a point at distance 0.6 m from the centre of the dipole, situated on a line making an angle of 60° with the dipole axis, is (1/(4πε₀) = 9 × 10⁹ N m² C⁻²):

  Options

  • Option A

    200 V

  • Option B

    400 V

  • Option C

    zero

  • Option D

    50 V

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  NEET 2020NEET Previous Year

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• MCQmediumElectrostaticElectric Dipole & Dipole Moment

  Two small spherical balls, each of mass 10 g and carrying charges -2 μC and +2 μC, are attached to the ends of a very light rigid rod of length 20 cm. The rod is placed near an infinite non-conducting sheet having uniform surface charge density 100 μC/m², with the rod making an angle 30° with the electric field. Take ε₀ = 8.85×10⁻¹² C²/(N·m²). The magnitude of net torque on the rod is:

  Options

  • Option A

    11.2 N·m

  • Option B

    112 N·m

  • Option C

    2.24 N·m

  • Option D

    1.12 N·m

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• MCQmediumElectrostaticElectric Dipole & Dipole Moment

  For an electric dipole, the electric field and potential at an axial point a distance r from its centre are E₀ and V₀. What are the electric field magnitude and potential at an equatorial point a distance 2r from the centre?

  Options

  • Option A

    E₀/16, 0

  • Option B

    E₀/4, 0

  • Option C

    E₀, V₀

  • Option D

    E₀/8, 0

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• MCQmediumElectrostaticElectric Dipole & Dipole Moment

  The electric field due to a short electric dipole at a large distance r from its centre on the equatorial plane varies with r as:

  Options

  • Option A

    r

  • Option B

    1/r

  • Option C

    1/r²

  • Option D

    1/r³

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• MCQmediumElectrostaticElectric Dipole & Dipole Moment

  A dipole of moment p is placed on the axis of a fixed point charge Q at distance r, with p parallel to the electric field. Assuming r is much larger than the dipole size, the magnitude of the net force on the dipole is:

  Options

  • Option A

    Qp/(4πε₀r³)

  • Option B

    2Qp/(4πε₀r³)

  • Option C

    3Qp/(4πε₀r³)

  • Option D

    0

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• NumericmediumElectrostaticElectric Dipole & Dipole Moment

  One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0, 0). A point particle of mass m carrying a positive charge q is attached at its other end. The entire system is kept on a smooth horizontal surface. When a point dipole 𝐩 pointing towards the charge q is fixed at the origin, the spring gets stretched to a length λ and attains a new equilibrium position (see figure below). If the point mass is now displaced slightly by Δλ << λ from its equilibrium position and released, it is found to oscillate at frequency $\frac{1}{\delta}\sqrt{\frac{k}{m}}$ . The value of δ is.

  

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• Multi-correctmediumElectrostaticElectric Dipole & Dipole Moment

  An electric dipole with dipole moment 𝐩 = (p₀/√2)($\hat{i}+\hat{j}$) is fixed at the origin O in a uniform electric field of magnitude E₀. If the potential is constant on a circle of radius R centred at O as shown, which statement(s) is/are correct? (R is much larger than dipole size.)

  

  Select all that apply

  • Option A

    R = [p₀/(4πε₀E₀)]¹ᐟ³

  • Option B

    The magnitude of total electric field is the same at every point of the circle.

  • Option C

    At A, $\vec{E}_{A}$ = √2E₀($\hat{i}+\hat{j}$).

  • Option D

    At B, $\vec{E}_{B}$= 0.

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• MCQeasyElectrostaticElectric Dipole & Dipole Moment

  The electrostatic potential due to an electric dipole at a distance ‘r’ varies as :

  Options

  • Option A

    r

  • Option B

    1/r²

  • Option C

    1/r³

  • Option D

    1/r

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• MatchmediumElectrostaticElectric Dipole & Dipole Moment

  An electric dipole is placed at the origin as shown. Points A, B, C and D are at distance r from the origin. Match List I with List II.

  

  List 1

  1. (P) Electric potential at A

  2. (Q) Electric potential at B

  3. (R) Electric potential at C

  4. (S) Electric potential at D

  List 2

  1. (1) -kP sinθ/r²

  2. (2) kP cosθ/r²

  3. (3) kP sinθ/r²

  4. (4) -kP cosθ/r²

  Options

  • Option A

    P-3, Q-4, R-2, S-1

  • Option B

    P-4, Q-3, R-1, S-2

  • Option C

    P-1, Q-2, R-4, S-3

  • Option D

    P-3, Q-4, R-1, S-2

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