JEE Mains · Physics · STD 12 - 5. Magnetism and matter
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 \(\frac{x}{10^{4}}\). Then the value of \(x\) is ...... .
- A \(22\)
- B \(44\)
- C \(66\)
- D \(2\)
Answer & Solution
Correct Answer
(A) \(22\)
Step-by-step Solution
Detailed explanation
\(B=\mu .(H+I)\) \(B=\mu . H\left(1+\frac{I}{H}\right)\) \(B=B_{0}(1+\chi )\) \(B-B_{0}=B_{0} \chi\) \(\frac{B-B_{0}}{B_{0}}=\chi\) \(\frac{B-B_{0}}{B_{0}} \times 100=100 \chi\) \(=2.2 \times 10^{-3}=\frac{22}{10^{4}}\)
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