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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
An electric dipole of dipole moment`vecp` consists of point charges +q and −q separated by a distance 2a apart. Deduce the expression for the electric field `vecE` due to the dipole at a distance x from the centre of the dipole on its axial line in terms of the dipole moment `vecp`. Hence show that in the limit x>> a, `vecE->2vecp"/"(4piepsilon_0x^3)`
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`
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 1 cm, which placed with its axis making an angle of 60° with uniform electric field, experience a torque of \[6\sqrt{3} Nm\] . Calculate the potential energy of the dipole if it has charge ±2 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 dipole moment of an electric dipole. Is it a scalar or a vector?
In which orientation, a dipole placed in a uniform electric field is in (i) stable, (ii) unstable equilibrium?
It is said that the separation between the two charges forming an electric dipole should be small. In comparison to what should this separation be small?
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. Calculate the electric field at a point on the axis of the dipole 1.0 cm away from the centre.
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. Calculate the electric field at a point on the perpendicular bisector of the dipole and 1.0 m away from the centre.
Three charges are arranged on the vertices of an equilateral triangle, as shown in the figure. Find the dipole moment of the combination.
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 ______.
Two charges + 3.2 x 10-19 C and --3.2 x 10-19 C placed at 2.4 Å apart to form an electric dipole. lt is placed in a uniform electric field of intensity 4 x 105 volt/m. The electric dipole moment is ______.
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) ____________.
On the axis and on the equator of an electric dipole for all points ____________.
A short electric dipole bas a dipole moment of 16 x 10-9 C m. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of 60° with the dipole axis is: ____________. `(1/(4piepsilon_0) = 9 xx 10^9 "Nm"^2// "C"^2)`
An electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experience ________.
The unit of electric dipole moment is ______.
An electric dipole of moment p is placed parallel to the uniform electric field. The amount of work done in rotating the dipole by 90° is ____________.
The ratio of the weight of a man in a stationary lift and in a lift accelerating downwards with a uniform acceleration α is 3 : 2. The acceleration of the lift 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:
Electric dipole consists of two charges of magnitude 0.1 µC separated by a distance of 2 cm. The dipole is in 5 an external field of 105 N/C. What maximum torque does the field exert on the dipole?
Polar molecules are the molecules ______.
A square surface of side l (m) in the plane of the paper. A uniform electric field E(V/m) also in the plane of the paper is limited only to the lower half of the square surface, the electric flux (in SI units) associated with the surface is ______.
