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JEE Main 2021 (25 Jul, Shift 1) · Magnetisation: B, H, M, χ & μ

Magnetisation: B, H, M, χ & μ question from JEE Main 2021 (25 Jul, Shift 1)

Q39JEE Main 2021 · 25 JUL · SHIFT 1Easy

Magnetisation: B, H, M, χ & μ

The value of aluminium susceptibility is 2.2 ×\times 10−-5. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is x104\frac{x}{10^4}. Then the value of x is _________________.

Numerical answer type. Work it out, then open the answer.

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Answer: 22

  1. Filling the toroid raises BB by the factor (1+χ)(1+\chi), so percentage increase =χ×100= \chi \times 100.
  2. =2.2×10−5×100=2.2×10−3%=22104%= 2.2 \times 10^{-5} \times 100 = 2.2 \times 10^{-3}\% = \dfrac{22}{10^{4}}\%
  3. So x=22x = 22.
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