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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to \(1.2 \times 10^{-5}\). What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

  1. A \(1.2 \times 10^{-5}\)
  2. B \(1.2 \times 10^{-3}\)
  3. C \(1.8 \times 10^{-3}\)
  4. D \(2.4 \times 10^{-5}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.2 \times 10^{-5}\)

Step-by-step Solution

Detailed explanation

\(\chi=1.2 \times 10^{-5}\) \(\mu_{ r }=1+\chi=1+1.2 \times 10^{-5}\) Fractional Change \(=\frac{\Delta B }{ B }=\frac{\mu_{0} \mu_{ I } ni -\mu_{0} ni }{\mu_{0} ni }=\left(\mu_{ r }-1\right)\) \(=1.2 \times 10^{-5}\)
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