Work Done Moving Magnet and Induced Current – Rankers Physics
Topic: Electromagnetic Induction
Subtopic: Lenz Law

Work Done Moving Magnet and Induced Current

Assertion (A): If a bar magnet is moved towards a conducting coil in a direction perpendicular to the plane of coil, the work done in moving the magnet will be more if it is moved faster rather than slower.
Reason (R): If the magnet is moved at a faster rate towards the circular coil, then the induced current in the circular coil is more.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is true: Faster movement causes a greater rate of change of magnetic flux (\(\frac{d\Phi}{dt}\)), leading to a larger induced emf (\(epsilon = -\frac{d\Phi}{dt}\)) and current (\(I = \frac{\epsilon}{R}\)). This results in a stronger opposing force (Lenz's Law), requiring more work. Reason (R) is true: Induced current is directly proportional to the rate of change of flux. Reason (R) correctly explains Assertion (A).

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