A paramagnetic material has a relative permeability of 1.006 at a temperature of 300 K. When the material is heated to 400 K, its new relative permeability will be:

Step-by-step solution

The initial relative permeability is _ r1 = 1.006 . The initial magnetic susceptibility ₁ is given by: ₁ = _ r1 - 1 = 1.006 - 1 = 0.006 According to Curie's Law for paramagnetic materials, the magnetic susceptibility is inversely proportional to the absolute temperature ( 1 T ). ₂ ₁ = T₁ T₂ ₂ = 0.006 300 400 = 0.006 3 4 = 0.0045 The new relative permeability _ r2 at 400 K is: _ r2 = 1 + ₂ _ r2 = 1 + 0.0045 = 1.0045 Answer: 1.0045