A 10   m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0…

A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 m s-1, at right angles to the horizontal component of the earth's magnetic field of 0.3×10-4 Wb m-2. The value of the induced emf in the wire is:
  1. 0.3×10-3 V
  2. 1.1×10-3 V
  3. 2.5×10-3 V
  4. 1.5×10-3 V

Solution

The wire makes an angle 45° with the magnetic field lines. Therefore, the induced emf will be,

ε=Bvlsin450

=0.3×10-4×5×10×12

=1.1×10-3 V

Asked in: JEE Main 2019 (12 Jan Shift 2)

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