Moderate

A coil having number of turns N and cross-sectional area A is rotated in a uniform magnetic field B with an angular velocity ω. The maximum value of the emf induced in it is:

Correct answer: B. NBAω

  • A. NBA/ω
  • B. NBAω
  • C. NBA/ω 2
  • D. NBAω2

Explanation

The flux linking with the coil at any instant t is given as: Φ = NBA cos ωt ∴ E= -dΦ/dt = NBAω sinωt Therefore, the maximum value of emf is Emax = NBAω Hence, Option B is correct.

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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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