Question:

A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5 rad s–1. If the horizontal component of earth’s magnetic field is 0.2 × 10–4 T, then emf induced between the two ends of the conductor is:

Updated On: Jul 8, 2024
  • 5 μV
  • 50 μV
  • 5 mV
  • 50 mV
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The Correct Option is B

Solution and Explanation

Emf = \((\frac{1}{2})\)Bωl2
\((\frac{1}{2})\)× 0.2 × 10–4 × 5 × 12 V
= 0.5 × 10–4 V
= 50 μV

\(\therefore, \) The correct answer is (B): 50 μV

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Concepts Used:

Electromagnetic Induction

Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-

  1. When we place the conductor in a changing magnetic field.
  2. When the conductor constantly moves in a stationary field.

Formula:

The electromagnetic induction is mathematically represented as:-

e=N × d∅.dt

Where

  • e = induced voltage
  • N = number of turns in the coil
  • Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
  • t = time

Applications of Electromagnetic Induction

  1. Electromagnetic induction in AC generator
  2. Electrical Transformers
  3. Magnetic Flow Meter