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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Physics
Chapter
Magnetic Properties of Matter

BITSAT 2023 · Paper 1 · Physics · Magnetic Properties of Matter

The free space inside a current carrying toroid is filled with a...

The free space inside a current carrying toroid is filled with a material of susceptibility 2×10−22 \times 10^{-2}. The percentage increase in the value of magnetic field inside the toroid will be

Options

  1. A2%2 \%
  2. B0.2%0.2 \%
  3. C0.1%0.1 \%
  4. D1%1 \%

Correct answer

A. 2%2 \%

Step-by-step solution

Given,
Susceptibility of material, χm=2×10−2\chi_m=2 \times 10^{-2}
Using μr=1+χm=1+0.02=1.02\mu_{\mathrm{r}}=1+\chi_{\mathrm{m}}=1+0.02=1.02
Bfinal =μrB0\mathrm{B}_{\text{final }}=\mu_{\mathrm{r}} \mathrm{B}_0 (here, B0=\mathrm{B}_0= initial magnetic field)
%\% increase in magnetic field
=Bfinal −B0B0×100=μrB0−B0×100B0=\frac{\mathrm{B}_{\text{final }}-\mathrm{B}_0}{\mathrm{ B}_0} \times 100=\frac{\mu_{\mathrm{r}} \mathrm{B}_0-\mathrm{B}_0 \times 100}{\mathrm{ B}_0}
=(χ+1)−1×1001=0.02×100=2%=\frac{(\chi+1)-1 \times 100}{1}=0.02 \times 100=2 \%
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