The free space inside a current carrying toroid is filled with a material of susceptibility 2 × 10 - 2 …

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
 
  1. 0.2%
  2. 0.1%
  3. 2%
  4. 1%

Solution

It is given that 

χm=2×10-2

The permeability is μr=1+χm=1+0.02=1.02.

The magnetic field is B=μrB0=1.02B0

Hence, percentage increase in magnetic field is 

B-B0B0×100%=B01.02-1B0×100%=2%

Asked in: JEE Main 2023 (11 Apr Shift 1)

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