electric dipole and dipole moment questions with solutions

Showing 1–10 of 22 questions

• MCQmediumElectrostaticelectric dipole and dipole moment

  Two shorts dipoles (A, B), A having charges ± 2μC and length 1 cm and B having charges ± 4μC and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The electric field at a point P, equi-distant from the centres of both dipoles is_____N/C.

  

  Options

  • Option A

    (9/16)√2 × 10⁵

  • Option B

    4.5√2 × 10⁴

  • Option C

    9√2 × 10⁴

  • Option D

    (9/16)√2 × 10⁴

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• MCQeasyElectrostaticelectric dipole and 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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• NumericmediumElectrostaticelectric dipole and dipole moment

  An electric dipole of dipole moment 6.0 × 10⁻⁶ C m is placed in a uniform electric field 1.5 × 10³ N C⁻¹ with its dipole moment along the field. Work done in rotating the dipole through 180° is ______ mJ.

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• NumericmediumElectrostaticelectric dipole and dipole moment

  A point charge q of mass m is suspended vertically by a string of length λ. A point dipole of dipole moment 𝐩 is now brought towards q from infinity so that the charge moves away. The final equilibrium position of the system including the direction of the dipole, the angles and distances is shown in the figure below. If the work done in bringing the dipole to this position is N × (mgh), where g is the acceleration due to gravity, then the value of N is . (Note that for three coplanar forces keeping a point mass in equilibrium, $\frac{F}{\sin\theta}$ is the same for all forces, where F is any one of the forces and θ is the angle between the other two forces)

  

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• NumericmediumElectrostaticelectric dipole and dipole moment

  Two charges of -4 μC and +4 μC are placed at the points A(1, 0, 4)m and B(2, -1, 5) m located in an electric field $\vec{E}$= 0.20 î V/cm. The magnitude of the torque acting on the dipole is 8√α × 10⁻⁵ Nm, Where α = _____.

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• MatchdifficultElectrostaticelectric dipole and dipole moment

  Four configurations of two ideal electric dipoles are shown in List-I. Each dipole has magnitude p and the dipoles are 2r apart along x. X is the midpoint. Match each configuration with the resultant electric field at X.

  Image

  List 1

  1. 

  2. 

  3. 

  4. 

  5. .

  List 2

  1. 1. 1. E = 0

  2. 1. 2. E = -p ĵ/(2πε₀r³)

  3. 3. 3. E = -p(î - ĵ)/(4πε₀r³)

  4. 1. 4. E = p(2î - ĵ)/(4πε₀r³)

  5. 1. 5. E = p î/(πε₀r³)

  Options

  • Option A

    P→3, Q→1, R→2, S→4

  • Option B

    P→4, Q→5, R→3, S→1

  • Option C

    P→2, Q→1, R→4, S→5

  • Option D

    P→2, Q→1, R→3, S→5

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• MCQmediumElectrostaticelectric dipole and dipole moment

  Two short electric dipoles A and B are centred at the same point O with mutually perpendicular axes. Dipole A has moment p₁ along the horizontal axis, while dipole B has moment p₂ along the vertical axis. A point x lies on the axial line of dipole A and on the equatorial line of dipole B. The resultant electric field at x makes an angle of 60° with the horizontal line Ox. What is p₂ /p₁?

  

  Options

  • Option A

    √3 ÷ 2

  • Option B

    2√3

  • Option C

    1 ÷ √3

  • Option D

    √3

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• A/ReasyElectrostaticelectric dipole and dipole moment

  Given below are two statements: one is labelled Assertion A and the other is labelled Reason R.

  Assertion

  An electric dipole of dipole moment 30 × 10⁻⁵ C m is enclosed by a closed surface. The net electric flux coming out of the surface is zero.

  Reason

  An electric dipole consists of two equal and opposite charges.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A

  • Option B

    A is true but R is false

  • Option C

    Both A and R are true but R is not the correct explanation of A

  • Option D

    A is false but R is true

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• MCQmediumElectrostaticelectric dipole and dipole moment

  A rigid electric dipole performs small angular oscillations about its centre in a uniform electric field E₁ = E₀î. A second field E₂ = 2E₀(ĵ+k̂) is then added. Approximately what is the percentage increase in the oscillation frequency?

  Options

  • Option A

    73%

  • Option B

    63%

  • Option C

    83%

  • Option D

    53%

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• MCQmediumElectrostaticelectric dipole and dipole moment

  An electric dipole is formed by two charges +q and -q located in xy-plane at (0, 2) mm and (0, -2) mm, respectively, as shown in the figure. The electric potential at point P(100, 100) mm due to the dipole is V₀. The charges +q and -q are then moved to the points (-1, 2) mm and (1, -2) mm, respectively. What is the value of electric potential at P due to the new dipole ?

  

  Options

  • Option A

    V₀ /4

  • Option B

    V₀ /2

  • Option C

    $\frac{V_{\omicron}}{\sqrt2}$

  • Option D

    3V₀ /4

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