A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of

Question

A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0 T. The magnetic intensity in SI units is $α \times 10^{5}$ . The value of $α$ is ______. (Free space permeability $μ_{0} = 4 π \times 10^{- 7}$ SI units). [2026]

Smart Achievers · Accepted Answer

(2)

$H = \frac{B}{μ} = \frac{B}{μ_{0} μ_{r}} = \frac{1}{400 \times 4 π \times 10^{- 7}}$

$H = \frac{1}{16 π} \times 10^{5}$

Solution

1 $\frac{25}{π}$

2 $\frac{1}{16 π}$

3 $\frac{1}{π}$

4 $\frac{1}{4 π}$

Ans.
(2)

$H = \frac{B}{μ} = \frac{B}{μ_{0} μ_{r}} = \frac{1}{400 \times 4 π \times 10^{- 7}}$

$H = \frac{1}{16 π} \times 10^{5}$

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Solution

Q. A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0 T. The magnetic intensity in SI units is α×105. The value of α is ______. (Free space permeability μ0=4π×10-7 SI units). [2026]

1 25π

2 116π

3 1π

4 14π