A short-circuited rectangular coils falls under gravity with the coil remaining in a vertical plane and cutting perpendicular horizontal magnetic lines of force. It has_____acceleration.a)zerob)increasingc)decreasingd)constantCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Given:
- A short-circuited rectangular coil falls under gravity.
- The coil remains in a vertical plane.
- The coil cuts perpendicular horizontal magnetic lines of force.

We need to determine the acceleration of the coil.

Explanation:
1. When a conductor moves in a magnetic field, an electromotive force (emf) is induced in the conductor due to the magnetic field lines cutting across it.
2. According to Faraday's law of electromagnetic induction, the magnitude of the induced emf is directly proportional to the rate of change of magnetic flux through the conductor.
3. In this case, as the coil falls under gravity, it moves through the magnetic field lines, causing a change in the magnetic flux through the coil.
4. The induced emf in the coil will cause an electric current to flow through it.
5. According to Lenz's law, the direction of the induced current will be such that it opposes the change in magnetic flux that caused it.
6. Since the coil is short-circuited, the induced current will flow in a direction that creates a magnetic field opposing the external magnetic field.
7. The interaction between the induced magnetic field and the external magnetic field will result in a force on the coil, known as the magnetic force or the Lorentz force.
8. The magnetic force will act in a direction opposite to the motion of the coil, causing a deceleration.
9. However, since the coil is falling under gravity, there is also a gravitational force acting on it in the downward direction.
10. The net force on the coil is the vector sum of the magnetic force and the gravitational force.
11. The gravitational force is greater than the magnetic force, resulting in a net downward force on the coil.
12. As a result, the coil accelerates downward with a constant acceleration due to gravity.
13. Therefore, the correct answer is option D) constant acceleration.

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