Moderate

A circular coil of radius 0.1 m with 50 turns rotates at 1800 rpm in a 0.3 T magnetic field. The peak emf induced is:

Correct answer: B. 113 V

  • A. 56.5 V
  • B. 113 V
  • C. 169.5 V
  • D. 226 V

Explanation

Peak emf = NBAω, where N = 50, B = 0.3 T, A = π(0.1)² = 0.0314 m², ω = 2πf = 2π × (1800/60) = 60π rad/s. Thus, εmax= 50 × 0.3 × 0.0314 × 60π ≈ 113 V.

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Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.

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