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प्रश्न
Answer the following question.
What is the unit of dipole moment?
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उत्तर
- Strength of a dipole is measured in terms of a quantity called the dipole moment.
- Let q be the magnitude of each charge and `2vec"l"` be the distance from the negative charge to the positive charge. Then, the product `"q"(2vec"l")` is called the dipole moment `vec"p"`.
- Dipole moment is defined as `vec"p"="q"(2vec"l")`
- A dipole moment is a vector whose magnitude is q (2l) and the direction is from the negative to the positive charge.
- The unit of dipole moment is coulomb-meter (C m) or debye (D).
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संबंधित प्रश्न
Depict the equipotential surfaces due to an electric dipole.
(i)Obtain the expression for the torque `vecτ` experienced by an electric dipole of dipole moment `vecP` in a uniform electric field, `vecE` .
(ii) What will happen if the field were not uniform?
A short electric dipole (which consists of two point charges, +q and -q) is placed at the centre 0 and inside a large cube (ABCDEFGH) of length L, as shown in Figure 1. The electric flux, emanating through the cube is:
a) `q"/"4piin_9L`
b) zero
c) `q"/"2piin_0L`
d) `q"/"3piin_0L`
Derive an expression for the intensity of electric field at a point in broadside position or on [4)
an equatorial line of an electric dipole.
Find the resultant electric field due to an electric dipole of dipole moment, 2aq, (2a being the separation between the charges ±± q) at a point distant 'x' on its equator.
An electric dipole of length 2 cm, when placed with its axis making an angle of 60° with a uniform electric field, experiences a torque of \[8\sqrt{3}\] Nm. Calculate the potential energy of the dipole, if it has a charge \[\pm\] 4 nC.
Define electric dipole moment. Is it a scalar or a vector? Derive the expression for the electric field of a dipole at a point on the equatorial plane of the dipole.
Define electric dipole moment.
Two particles A and B, of opposite charges 2.0 × 10−6 C and −2.0 × 10−6 C, are placed at a separation of 1.0 cm. Two particles A and B, of opposite charges 2.0 × 10−6 C and −2.0 × 10−6 C, are placed at a separation of 1.0 cm.
Answer the following question.
Derive an expression for the electric field at any point on the equatorial line of an electric dipole.
An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is ______.
When an electric dipole p is placed in a uniform electric field E then at what angle the value of torque will be maximum?
The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment `vec "p"` is given by, (r >> separation of two charges forming the dipole, `epsilon_0 - ` permittivity of free space) ____________.
Electric field on the axis of a small electric dipole at a distance r is E1 and at a distance of 2r on its perpendicular bisector, the electric field is E2. Then the ratio E2: E1 is ______.
A conic surface is placed in a uniform electric field E as shown in the figure such that the field is perpendicular to the surface on the side AB. The base of the cone is of radius R, and the height of the cone is h. The angle of the cone is θ.
Find the magnitude of the flux that enters the cone's curved surface from the left side. Do not count the outgoing flux (θ < 45°)
The unit of electric dipole moment is ______.
The electric intensity due to a dipole of length 10 cm and having a charge of 500 µC, at a point on the axis at a distance 20 cm from one of the charges in air, is:
An electric dipole of moment `vec"p"` is placed normal to the lines of force of electric intensity `vec"E"`, then the work done in deflecting it through an angle of 180° is:
A dipole is placed in an electric field as shown. In which direction will it move?
Two charges –q each are fixed separated by distance 2d. A third charge q of mass m placed at the mid-point is displaced slightly by x(x << d) perpendicular to the line joining the two fixed charged as shown in figure. Show that q will perform simple harmonic oscillation of time period.
`T = [(8pi^3 ε_0 md^3)/q^2]^(1/2)`
The electric potential V as a function of distance X is shown in the figure.
The graph of the magnitude of electric field intensity E as a function of X is ______.
Eight dipoles of charges of magnitude e each are placed inside a cube. The total electric flux coming out of the cube will be ______.
Show that intensity of electric field at a point in broadside position of an electric dipole is given by:
E = `(1/(4 pi epsilon_0)) p/((r^2 + l^2)^(3//2))`
Where the terms have their usual meaning.
