A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a constant speed. When the loop is partially inside the magnate field, the plot of magnitude of induced emf ( ε ) with time ( t ) is given by
(A)Option (1)
(B)Option (2)
(C)Option (3)
(D)Option (4)✓ Correct
Answer: (D)
Solution
While the loop is partially inside the field and being pulled out at constant speed v, the motional emf is ε=Bℓv
Here B (field strength), ℓ (length of the side still inside the field, perpendicular to the velocity) and v are all constant during this interval, so ε stays constant throughout. Before the loop starts leaving, and after it has fully left, there is no change of flux and ε=0.
So the graph of ∣ε∣ against time, while the loop is partially inside the field, is a constant horizontal line — a rectangular pulse of height Bℓv.
JEE Main · 2025 · 22 Jan 2025 · Shift 2 · Single correct option