STANDARDPhysics-Electromagnetic Induction

STANDARD Physics Faraday's Law MCQ Question

Type: MCQ-numerical-Medium-Class 12

A rectangular coil of 100 turns and size 0.1 m × 0.05 m is placed perpendicular to a magnetic field of 0.2 T. If the field drops to 0.05 T in 0.05 second, the magnitude of the e.m.f. induced in the coil is

A

2 V

B

3 V

C

0.5 V

D

6 V

Correct Answer

Option C

Detailed Explanation

The area of the coil is A = 0.1 m × 0.05 m = 5 × 10⁻³ m². The initial flux is 5 × 10⁻⁴ Wb and the final flux is 2.5 × 10⁻⁴ Wb. The change in flux is 2.5 × 10⁻⁴ Wb. Using the formula for induced emf, ε = N(Δϕ/Δt), we get ε = 0.5 V.

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