AIPMT PRELIMS2012Physics-Electromagnetism
AIPMT PRELIMS 2012 Physics Electromagnetic Induction MCQ Question
Type: MCQ-numerical-Medium-Class 12
A coil of resistance 400 Ω is placed in a magnetic field. If the magnetic flux ϕ (wb) linked with the coil varies with time t (sec) as ϕ = 50 t² + 4, the current in the coil at t = 2 sec is
A
1 Å
B
0.5 Å
C
0.1 Å
D
2 Å
Correct Answer
Option B
Detailed Explanation
The induced emf (e) is given by e = -dϕ/dt. Differentiating ϕ = 50t² + 4 gives dϕ/dt = 100t. At t = 2 sec, e = 100 * 2 = 200 V. Using Ω's law, I = e/R = 200/400 = 0.5 Å.
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