The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1.2 × 10 - 5. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid? (a) 1.2 × 10 - 5 (b) 1.2 × 10 - 3 (c) 1.8 × 10 - 3 (d) 2.4 × 10 - 5

Answer: (a). Bair = μ₀ nI, B' = μ₀(1+χ)nI. Fractional increase = (B' - B)/(B) = χ = 1.2 × 10⁻⁵ So the answer is (a) 1.2 × 10⁻⁵.

The space inside a straight current carrying solenoid is filled with… | JEE Main 2022 (28 Jun, Shift 2)

Q32JEE Main 2022 · 28 JUN · SHIFT 2Easy

Magnetisation: B, H, M, χ & μ

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?

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Answer: (a)

$B_{\text{air}} = \mu_0 nI$ , $B' = \mu_0(1+\chi)nI$ .
Fractional increase $= \dfrac{B' - B}{B} = \chi = 1.2 \times 10^{-5}$
So the answer is (a) $1.2 \times 10^{-5}$ .

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