JEE Main · 2022 · 28 Jun 2022 · Shift 2 · Magnetic Properties of Matter

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The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to

1.2 \times 1 0^{- 5}

. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

(A) $1.2 \times 1 0^{- 5}$ ✓ Correct
(B) $1.2 \times 1 0^{- 3}$
(C) $1.8 \times 1 0^{- 3}$
(D) $2.4 \times 1 0^{- 5}$

Answer: (A)

Solution

Relative permeability

μ_{r} = 1 + χ = 1 + 1.2 \times 1 0^{- 5}

. Fractional increase in magnetic field =

\frac{Δ B}{B} = \frac{μ _{0} μ _{r} ni - μ _{0} ni}{μ _{0} ni} = μ_{r} - 1 = χ = 1.2 \times 1 0^{- 5}

JEE Main · 2022 · 28 Jun 2022 · Shift 2 · Single correct option

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