Question

A solenoid having 400 turns/metre has a core of a material with relative permeability 300. If a current of 0.5 A is passed through it, then the magnetisation of the core material is nearly ______.

Options

• 6 × 10² A/m

• 6 × 10³ A/m

• 6 × 10⁴ A/m

• 6 × 10⁵ A/m

Answer 1

A solenoid having 400 turns/metre has a core of a material with relative permeability 300. If a current of 0.5 A is passed through it, then the magnetisation of the core material is nearly 6 × 10⁴ A/m.

Explanation:

Given: n = 400 turns/m

I = 0.5 A

μ_r = 300

∴ H = nl

= 400 × 0.5 A

= 200 A/m

But, χ_m = μ_r − 1

= 300 − 1

= 299

Magnetization (M) = χ_mH

= 299 × 200

= 5.98 × 10⁴ Am⁻¹

= 6 × 10⁴ Am⁻¹