A circular coil of 1000 turns and average radius 10 m rotates about its horizontal diameter with angular speed 2 rad/s. Vertical component of Earth’s field is 2 × 10⁻⁵ T and coil resistance is 12.56 Ω. Find the maximum induced current:
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Question

A circular coil of 1000 turns and average radius 10 m rotates about its horizontal diameter with angular speed 2 rad/s. Vertical component of Earth’s field is 2 × 10⁻⁵ T and coil resistance is 12.56 Ω. Find the maximum induced current:

Options

G1 Physics · Accepted Answer

Step 1: A = πr² = 100π m² and ω = 2 rad/s. Step 2: Maximum emf ε₀ = NBωA = 1000 × 2 × 10⁻⁵ × 2 × 100π = 4π V ≈ 12.56 V. Step 3: Iₘₐₓ = ε₀/R = 12.56/12.56 = 1 A (option C). Final answer: (C) 1 A.