A rectangular coil of length 0.12 m and width 0.1 m having 50 turns of wire is suspended vertically in a uniform magnetic field of strength 0.2 Wb/m2. The coil carries a current of 2 A. If the plane of the coil is inclined at an angle of 30o with the direction of the field, the torque required to keep the coil in stable equilibrium will be:
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A bar magnet of length l and magnetic dipole moment M is bent to form an arc which subtends an angle of at centre. The new magnetic dipole moment will be
When a bar magnet is bent into an arc, its magnetic dipole moment changes. The new magnetic dipole moment is directly proportional to the original dipole moment and the angle subtended by the arc at the center. For an angle of 120°, the new dipole moment is (3√3/2π)M.
The unit of pole strength is
If we define magnetic moment like electric dipole moment
Magnetic moment ( Ampere X ) = Pole strength X Distance (m)
Unit of pole strength = Ampere X meter
Magnetic field lines
Magnetic field lines cannot intersect, are always closed curves, and can pass through a vacuum. Therefore, option o4 which states 'All of these' is the correct answer. Magnetic field lines represent the direction of the magnetic force at a given point and must follow certain rules to accurately depict the magnetic field.
Two small bar magnets are placed in air at a distance r apart. The magnetic force between them is proportional to
The vertical component of the earths magnetic field is zero at
A short magnetic dipole is placed at the origin with its dipole movement directed along the x-axis. If magnetic field induction at a point P (r, 0) is B, the magnetic field induction at point Q(0,2r) will be
The magnetic field at a point x on the axis of a small bar magnet is equal to the field at a point y on the equator of the same magnet. The ratio of the distances of x and y from the centre of the magnet is
The magnetic field due to a bar magnet follows an inverse cube law, meaning the field strength is inversely proportional to the cube of the distance from the center. If the field is equal at points x and y, their distances from the center must follow the ratio (x/y)^3 = 2. Therefore, the ratio x/y = 2^(1/3).
A magnet of magnetic moment 20 C.G.S. units are freely suspended in a uniform magnetic field of intensity 0.3 C.G.S. units. The amount of work done in deflecting it by an angle of in C.G.S. units is
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