A wheel of radius 0.5 m rotates with constant angular velocity 10 rad/s in a magnetic field of 0.1 T perpendicular to the wheel. Calculate emf induced between centre and rim.
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A wheel of radius 0.5 m rotates with constant angular velocity 10 rad/s in a magnetic field of 0.1 T perpendicular to the wheel. Calculate emf induced between centre and rim.

G1 Physics · Accepted Answer

Step 1: Rotating metal wheel in a perpendicular field works like a Faraday disk. Step 2: Radial motional emf is ε = ∫(0→R) Bωr dr = (1/2)BωR². Step 3: Substitute B=0.1 T, ω=10 rad/s, R=0.5 m: ε=0.5×0.1×10×(0.5)²=0.125 V, answer B. Final answer: (B) 0.125 V.