A solenoid with a magnetic core has a magnetic induction of 1.6 T inside it when subjected to a magnetising field of 2000 A m ⁻¹ . The magnetic susceptibility of the core material is: ( ₀ = 4 10⁻⁷ T m A ⁻¹ )

Step-by-step solution

Absolute permeability is given by = B H . = 1.6 2000 = 8 10⁻⁴ T m A ⁻¹ Relative permeability is _r = ₀ . _r = 8 10⁻⁴ 4 10⁻⁷ = 2000 Magnetic susceptibility is _m = _r - 1 . _m = 2000 - 1 = 1999 Answer: 1999