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BITSAT2023PhysicsMagnetic 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. A2 %
  2. B0.2 %
  3. C0.1 %
  4. D1 %

Correct answer

A. 2 %

Step-by-step solution

Given, Susceptibility of material, _m=2 10⁻² Using _ r =1+ _ m =1+0.02=1.02 B _ final = _ r B ₀ (here, B ₀= initial magnetic field) % increase in magnetic field = B _ final - B ₀ ~B ₀ 100= _ r B ₀- B ₀ 100 ~B ₀ = ( +1)-1 100 1 =0.02 100=2 %

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