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 10^5 . The value of is ______. (Free space permeability ₀=4 10⁻⁷ SI units.)

Step-by-step solution

The magnetic field B inside the solenoid is related to the magnetic intensity H by the formula: B = H = ₀ _r H Rearranging for H , we get: H = B ₀ _r Substituting the given values ( B = 1.0 T, _r = 400 , and ₀ = 4 10⁻⁷ T m/A): H = 1.0 4 10⁻⁷ 400 H = 1.0 1600 10⁻⁷ H = 1 16 10⁻⁵ H = 1 16 10^5 A/m Comparing this with the given expression H = 10^5 , we find: = 1 16 Answer: 1 16