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JEE Main202311 Apr 2023Morning ShiftPhysicsMagnetic Properties of MatterActual

The free space inside a current carrying toroid is filled with a material of susceptibility 2 × 10 - 2 . The percentage increase in the value of magnetic field inside the toroid will be

Options

  1. A0 . 2 %
  2. B0 . 1 %
  3. C2 %
  4. D1 %

Correct answer

C. 2 %

Step-by-step solution

It is given that χ m = 2 × 10 - 2 The permeability is μ r = 1 + χ m = 1 + 0 . 02 = 1 . 02 . The magnetic field is B = μ r B 0 = 1 . 02 B 0 Hence, percentage increase in magnetic field is B - B 0 B 0 × 100 % = B 0 1 . 02 - 1 B 0 × 100 % = 2 %

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