Questions in magnetism

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The figure below shows the north and south poles of a permanent magnet in which n turn coil of area of cross-section A is resting, such that for a current i passed through the coil, the plane of the coil makes an angle $\theta $with respect to the direction of magnetic field B. If the plane of the magnetic field and the coil are horizontal and vertical respectively, the torque on the coil will be Question Image
Points A and B are situated perpendicular to the axis of a 2cm long bar magnet at large distances X and 3X from its centre on opposite sides. The ratio of the magnetic fields at A and B will be approximately equal to
Two short magnets with their axes horizontal and perpendicular to the magnetic meridian are placed with their centres 40 cm east and 50 cm west of magnetic needle. If the needle remains undeflected, the ratio of their magnetic moments ${M_1}:{M_2}$ is
If a bar magnet of magnetic moment M is freely suspended in a uniform magnetic field of strength B, the work done in rotating the magnet through an angle$\theta $ is
Two small bar magnets are placed in a line with like poles facing each other at a certain distance d apart. If the length of each magnet is negligible as compared to d, the force between them will be inversely proportional to
A magnet of magnetic moment M is situated with its axis along the direction of a magnetic field of strength B. The work done in rotating it by an angle of 180o will be
A long magnet is cut in two parts in such a way that the ratio of their lengths is 2 : 1. The ratio of pole strengths of both the section is
A bar magnet of length 10 cm and having the pole strength equal to $10^{–3}$ weber is kept in a magnetic field having magnetic induction (B) equal to $4\pi \times {10^{ - 3}}$ Tesla. It makes an angle of $30^o$ with the direction of magnetic induction. The value of the torque acting on the magnet is (${\mu _0} = 4\pi \times {10^{ - 7}}weber/amp \times m$)
Magnetic field intensity is defined as
If the magnetic flux is expressed in weber, then magnetic induction can be expressed in

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