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AP EAMCET · PHYSICS · Magnetic Properties of Matter

A material of \(0.25 \mathrm{~cm}^2\) cross-sectional area is placed in a magnetic field of strength \((\mathrm{H}) 1000 \mathrm{Am}^{-1}\). Then, the magnetic flux produced is
(Susceptibility of material is 313)
(Permeability of free space, \(\mu_0=4 \pi \times 10^{-7} \mathrm{Hm}^{-1}\) )

  1. A \(8.33 \times 10^{-8} \mathrm{~Wb}\)
  2. B \(1.84 \times 10^{-6} \mathrm{~Wb}\)
  3. C \(9.87 \times 10^{-6} \mathrm{~Wb}\)
  4. D \(3.16 \times 10^{-6} \mathrm{~Wb}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(9.87 \times 10^{-6} \mathrm{~Wb}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { Magnetic flux } \phi=B A=\mu H A \\ & =\mu_0\left(1+\chi_{\mathrm{m}}\right) H A\left[\because \mu=\mu_0\left(1+\chi_m\right)\right] \\ & =4 \pi \times 10^{-3} \times(1+313) \times 1000 \times 0.25 \times 10^{-4} \\ & =9.87 \times 10^{-6}…