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A bar magnet dropped into a coil of a conducting wire, along its axis, will fall with an acceleration

  • a)
    equal to g

  • b)
    less than g

  • c)
    more than g

  • d)
    first '1' then'3'

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A bar magnet dropped into a coil of a conducting wire, along its axis,...
When the magnet is allowed to fall vertically along the axis of loop with its north pole towards the ring. The upper face of the ring will become north pole in an attempt to oppose the approaching north pole of the magnet. Therefore the acceleration in the magnet is less than g.
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A bar magnet dropped into a coil of a conducting wire, along its axis,...
Magnetic Induction and Motion of Bar Magnet in a Coil

When a bar magnet is dropped into a coil of conducting wire, an electric current is induced in the coil due to the changing magnetic field. This phenomenon is known as electromagnetic induction. The induced current creates an opposing magnetic field that interacts with the falling magnet and causes it to experience a magnetic force.

Factors Affecting the Acceleration of the Falling Magnet

The acceleration of the falling magnet in the coil depends on several factors, such as the strength of the magnet, the characteristics of the coil, and the orientation of the magnet with respect to the coil. However, the most significant factor is the magnetic force acting on the magnet due to the induced current in the coil.

Magnetic Force and Acceleration

The magnetic force acting on the magnet can be calculated using the formula:

F = BIL

Where F is the magnetic force, B is the magnetic field strength, I is the current, and L is the length of the conductor. Since the magnetic field and the length of the conductor are fixed, the magnetic force is directly proportional to the current. Therefore, the acceleration of the falling magnet is also proportional to the current.

Opposing Magnetic Field and Current

The current induced in the coil creates an opposing magnetic field that interacts with the falling magnet. This opposing magnetic field reduces the net magnetic force acting on the magnet and decreases its acceleration. The strength of the opposing magnetic field depends on the rate of change of the magnetic field, which in turn depends on the speed of the falling magnet.

Conclusion

Therefore, the acceleration of the falling magnet in a coil of conducting wire is less than g, as the opposing magnetic field created by the induced current reduces the net magnetic force and decreases the acceleration. The correct answer is option B.
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Community Answer
A bar magnet dropped into a coil of a conducting wire, along its axis,...
B
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