A 41-turn square coil of area 0.074 m² and a 123-turn circular coil are both placed perpendicular to the same changing magnetic field.The voltage induced in each of the coils is the same.What is the area of the circular coil? A)0.22 m² B)0.82 m² C)0.025 m² D)0.074 m² E)0.67 m²

Question

Quizplus · Accepted Answer

The induced voltage in a coil is given by the equation V = NAB/Δt, where N is the number of turns in the coil, A is the area of the coil, B is the magnetic field strength, and Δt is the time interval over which the magnetic field changes. Since the voltage induced in both coils is the same, we have:
N1A1 = N2A2
where N1 = 41, A1 = 0.074 m2, N2 = 123, and we need to find A2. Therefore:
A2 = (N1/N2)A1 = (41/123) × 0.074 m2 ≈ 0.025 m2
Therefore, the answer is (C) 0.025 m2.

A 41-Turn Square Coil of Area 0