Advertisements
Advertisements
Question
Answer the following question.
What is the unit of dipole moment?
Advertisements
Solution
- 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).
APPEARS IN
RELATED QUESTIONS
An electric dipole of length 4 cm, when placed with its axis making an angle of 60° with a uniform electric field, experiences a torque of `4sqrt3`Nm. Calculate the potential energy of the dipole, if it has charge ±8 nC
Derive the expression for the electric potential due to an electric dipole at a point on its axial line.
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 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?
An electric dipole is placed at the centre of a sphere. Mark the correct options.
(a) The flux of the electric field through the sphere is zero.
(b) The electric field is zero at every point of the sphere.
(c) The electric field is not zero anywhere on the sphere.
(d) The electric field is zero on a circle on the sphere.
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.
Two particles, carrying charges −q and +q and and of mass m each, are fixed at the ends of a light rod of length a to form a dipole. The rod is clamped at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is slightly tilted and then released. Neglecting gravity, find the time period of small oscillations.
In an electric dipole, at which point is the electric potential zero ?
Answer the following question.
Derive an expression for the electric field at any point on the equatorial line of an electric dipole.
A uniform electric field is prevailing in X - direction in certain region. The coordinates of points P, Q, and R are (0, 0), (2, 0) and (0, 2) respectively. Which of the following alternatives is true for the potentials at these points?
A metal sphere of radius 1 cm is given a charge of 3.14 µC. Find the electric intensity at a distance of 1 m from the centre of sphere.
`[epsilon_0 = 8.85 xx 10^-12 "F"//m]`
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) ____________.
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 ______.
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 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:
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 ______.
Polar molecules are the molecules ______.
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)`
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 ______.
What work must be done to rotate an electric dipole through an angle θ with the electric field, if an electric dipole of moment p is placed in a uniform electric field E with p parallel to E?
Eight dipoles of charges of magnitude e each are placed inside a cube. The total electric flux coming out of the cube will be ______.
Arrangement of an oxygen ion and two hydrogen ions in a water molecule is shown in the figure below.
Calculate the electric dipole moment of a water molecule. Express your answer in terms of e (charge on hydrogen ions), l and θ.
