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BITSAT Physics Magnetic Properties of Matter 2023 BITSAT 2023 (Memory Based Paper 1)

BITSAT Physics Question (2023) — Solution

Question

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. A. 2 \%
  2. B. 0.2 \%
  3. C. 0.1 \%
  4. D. 1 \%

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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