The magnetic field inside a long solenoid is increased from 2- 10-3 T to 2-5 T when an iron core is inserted in it- Find the relative permeability of the iron core-

Initially, B_1 = μ_o H Finally, when an iron core is inserted, B_2 = μ H=μ_o μ_r H ∴B_1B_2 = 1μ_r 2.5 × 10^ 32.5 = 1μ_r ∴μ_r = 1000 Hence, option (D) is ...

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Standard XII

Physics

Solenoid Core in Magnetic Field

The magnetic ...

Question

The magnetic field inside a long solenoid is increased from $2 \times 10^{- 3} T$ to $2.5 T$ when an iron core is inserted in it. Find the relative permeability of the iron core.

500

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5000

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100

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1000

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Solution

The correct option is D $1000$
Initially,

$B_{1} = μ_{o} H$

Finally, when an iron core is inserted,

$B_{2} = μ H = μ_{o} μ_{r} H$

$∴ \frac{B_{1}}{B_{2}} = \frac{1}{μ_{r}}$

$\frac{2.5 \times 10^{- 3}}{2.5} = \frac{1}{μ_{r}}$

$∴ μ_{r} = 1000$

Hence, option $(D)$ is the correct answer.

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The magnetic field inside a long solenoid is increased from 2×10−3 T to 2.5 T when an iron core is inserted in it. Find the relative permeability of the iron core.

The correct option is D 1000Initially, B1=μoH Finally, when an iron core is inserted, B2=μH=μoμrH ∴B1B2=1μr 2.5×10−32.5=1μr ∴μr=1000 Hence, option (D) is the correct answer.

The magnetic field inside a long solenoid is increased from $2 \times 10^{- 3} T$ to $2.5 T$ when an iron core is inserted in it. Find the relative permeability of the iron core.