A single-turn rectangular coil of area A rotates in a uniform magnetic field B with angular velocity ω about an axis perpendicular to the field. Initially the plane of the coil is perpendicular to the field. The average induced emf while it rotates through 90° is:
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Question

A single-turn rectangular coil of area A rotates in a uniform magnetic field B with angular velocity ω about an axis perpendicular to the field. Initially the plane of the coil is perpendicular to the field. The average induced emf while it rotates through 90° is:

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G1 Physics · Accepted Answer

For a moving conductor, ε=∫(v⃗×B⃗)·dℓ⃗. Combine this with Ohm’s law and Lenz’s law where required. The result is π 2π 4π π.