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A toroid has a core (non-ferro magnetic) of inner radius 24   cm and outer radius 26   cm around which 2000 turns of a wire is wound. If the current in the wire is 12   A , the magnetic field inside the core of the toroid is

Options

  1. A1 . 92 × 10 - 2   T
  2. B1 . 88 × 10 - 2   T
  3. C2 . 12 × 10 - 2   T
  4. D1 . 98 × 10 - 2   T

Correct answer

A. 1 . 92 × 10 - 2   T

Step-by-step solution

Given: r 1 =   24   cm r 2 =   26   cm Mean radius, r = r 1 + r 2 2 = 25   cm = 1 4   m Magnetic field inside the toroid, B = μ 0 n I = μ 0 N 2 π r I = 4 π × 10 - 7 2000 2 π × 1 4 × 12 = 1 . 92 × 10 - 2   T

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