Question:

A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad s-1. If the vertical component of earth’s magnetic field at that place is 2 × 10-5 T and electrical resistance of the coil is 12.56 Ω, then the maximum induced current in the coil will be:

Updated On: Jun 27, 2024
  • 0.25 A
  • 1.5 A
  • 1 A
  • 2 A
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The Correct Option is C

Solution and Explanation

Emax = NWAB
Emax\(1000 \times 2 \times \pi \times (10)^2 \times 2 \times (10)^{-5}\)
Emax\(12.56\) V
Imax\(\frac{E_{max}}{R}\)

Imax\(\frac{12.56}{12.56}\)
Imax \(1\) A

So, the correct option is (C): 1 A

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Concepts Used:

Magnetism & Matter

Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.

Magnetite is the world’s first magnet. This is also called a natural magnet.  Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.

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Some of the properties of the magnetic field lines are:

  • The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
  • They form closed loops traversing inside the magnet. 
  • But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
  • More number of close lines indicate a stronger magnetic field
  • The lines do not intersect each other
  • The tangent drawn at the field line gives the direction of the field at that point.