In a material, the magnetic field B and the magnetic intensity H are observed to be 1.6 T and 1000 A m ⁻¹ , respectively. Determine the relative permeability _r and the susceptibility of the material.

Step-by-step solution

The relation between magnetic field B , magnetic intensity H , and relative permeability _r is given by: B = H = ₀ _r H _r = B ₀ H Substituting the given values, B = 1.6 T , H = 1000 A m ⁻¹ , and ₀ = 4 10⁻⁷ T m A ⁻¹ : _r = 1.6 4 10⁻⁷ 1000 = 1.6 10^4 4 _r = 4000 1273.2 1.3 10^3 The magnetic susceptibility is related to relative permeability by: = _r - 1 1273.2 - 1 = 1272.2 1.3 10^3