Advertisements
Advertisements
प्रश्न
An electric dipole of length 2 cm is placed at an angle of 30° with an electric field 2 × 105 N/C. If the dipole experiences a torque of 8 × 10-3 Nm, the magnitude of either charge of the dipole is ______.
पर्याय
4 µC
7 µC
8 mC
2 mC
Advertisements
उत्तर
An electric dipole of length 2 cm is placed at an angle of 30° with an electric field 2 × 105 N/C. If the dipole experiences a torque of 8 × 10-3 Nm, the magnitude of either charge of the dipole is 4 µC.
Explanation:
Given:
θ = 30°, E = 2 × 105 N/C, τ = 8 × 10-3 Nm and 2a = 2 cm = 0.02 m
To find: Charge q = ?
We know that, τ = pE sinθ
= (q × 2a) E sinθ ....(∵ p = q × 20)
`q = tau/(2a.E sintheta)`
`q = (8 xx 10^-3)/(0.02 xx 2 xx 10^5 xx sin30^circ)`
= `400 xx 10^-3 xx 10^-5`
q = 4 µC
संबंधित प्रश्न
An electric dipole is placed in a uniform electric field. The net electric force on the dipole
A long bar magnet has a pole strength of 10 Am. Find the magnetic field at a point on the axis of the magnet at a distance of 5 cm from the north pole of the magnet.
An electric dipole of dipole moment `vecP` is placed in a uniform electric field `vecE` with its axis inclined to the field. Write an expression for the torque `vecT` experienced by the dipole in vector form. Show diagrammatically how the dipole should be kept in the electric field so that the torque acting on it is:
- maximum
- Zero
Derive the expression for the torque acting on an electric dipole, when it is held in a uniform electric field. identify the orientation of the dipole in the electric field, in which it attains a stable equilibrium.
A short bar magnet of magnetic moment m = 0.32 J T–1 is placed in a uniform magnetic field of 0.15 T. If the bar is free to rotate in the plane of the field, which orientation would correspond to its
- stable, and
- unstable equilibrium?
What is the potential energy of the magnet in each case?
Let the magnetic field on earth be modelled by that of a point magnetic dipole at the centre of earth. The angle of dip at a point on the geographical equator is ______.
Using the right-hand screw rule, determine the direction of torque when a dipole moment \[\vec{p}\] is rotated toward an electric field \[\vec{E}\].
What is the potential energy of a dipole in unstable equilibrium in a uniform electric field?
What distinguishes the behavior of a dipole in a non-uniform electric field from its behavior in a uniform field?
In a non-uniform electric field, why does the net force on a dipole become non-zero?
