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Kamla peddles a stationary bicycle. The pedals of the bicycle are attached to a coil of 200 turns and area 0.10 m². The coil rotates at half a revolution per second and is placed in a uniform magnetic field of 0.01 T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is ________ volt.

Asked in GSEB Board July 2023 · Peak and instantaneous EMF

• (1) 3.14
• (2) 0.628
• (3) 0.157
• (4) 0.314

Step-by-step solution

Why the other options are wrong

• (1) No single slip produces 3.14 V; it is five times the peak. Sanity check: NBAω=200×0.01×0.10×π≈0.628 V.
• (3) No single slip produces 0.157 V; it is a quarter of the peak. Sanity check: with ω=2π f=π rad s⁻¹ the peak is 0.628 V.
• (4) Comes from dropping the 2 in ω=2π f: 200×0.01×0.10×π/2=0.314 V. It is also the textbook answer for a 100-turn coil, not this 200-turn one.

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