Final answer:
The relative permeability of the magnetic material is 1.213 x 10^5 and the magnetic susceptibility is also 1.213 x 10^5.
Step-by-step explanation:
To calculate the relative permeability of the magnetic material that fills the toroidal solenoid, we can use the formula:
μ = B / (μ0 × N × I)
Where μ is the relative permeability, B is the magnetic field, μ0 is the permeability of free space (4π×10-7 T·m/A), N is the number of turns, and I is the current. Plugging in the given values, we get:
μ = 1.940 T / (4π×10-7 T×m/A × 500 turns × 2.400 A) = 1.213 × 105
To calculate the magnetic susceptibility, we can use the formula:
χ = μ - 1
Where χ is the magnetic susceptibility. Plugging in the calculated value of μ, we get:
χ = 1.213 × 105 - 1 = 1.213 × 105