Advertisements
Advertisements
प्रश्न
If the solenoid is free to turn about the vertical direction and a uniform horizontal magnetic field of 0.25 T is applied, what is the magnitude of torque on the solenoid when its axis makes an angle of 30° with the direction of applied field?
Advertisements
उत्तर
Given: Magnetic field strength, B = 0.25 T
Magnetic moment, M = 0.6 T−1
The angle θ, between the axis of the solenoid and the direction of the applied field, is 30°.
Formula: τ = MB sin θ
= 0.6 × 0.25 × sin 30°
= 7.5 × 10−2 J
संबंधित प्रश्न
An electric dipole with dipole moment 4 × 10−9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 × 104 N C−1. Calculate the magnitude of the torque acting on the dipole.
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?
Assertion: The poles of magnet can not be separated by breaking into two pieces.
Reason: The magnetic moment will be reduced to half when a magnet is broken into two equal pieces.
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 ______.
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 ______.
When an electric dipole is placed in a uniform electric field, what is the net force acting on the dipole?
Derive the magnitude of torque acting on an electric dipole in a uniform electric field. Which of the following correctly represents this torque?
In vector form, how is the torque on an electric dipole in a uniform electric field expressed?
Using the right-hand screw rule, determine the direction of torque when a dipole moment \[\vec{p}\] is rotated toward an electric field \[\vec{E}\].
When the dipole moment is parallel to the electric field (θ = 0°), what is the magnitude of torque?
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?
A dipole with moment p experiences a maximum torque of 4 × 10⁻²¹ N·m in a uniform electric field. What is the strength of the electric field?
When a dipole rotates from θ = 0° to θ = 90° in a uniform electric field, how does its potential energy change?
