STANDARDPhysics-Magnetism

STANDARD Physics Magnetization MCQ Question

Type: MCQ-conceptual-Medium

A solenoid has core of a material with relative permeability 500 and its windings carry a current of 1 A. The number of turns of the solenoid is 500 per metre. The magnetization of the material is nearly

A

2.5 × 10³ A m⁻¹

B

2.5 × 10⁵ A m⁻¹

C

2.0 × 10³ A m⁻¹

D

2.0 × 10⁵ A m⁻¹

Correct Answer

Option B

Detailed Explanation

Here, n = 500 turns/m, I = 1A, μᵣ = 500. Magnetic intensity, H = nI = 500 m⁻¹ × 1A = 500 A m⁻¹. As μᵣ = 1 + χ, where χ is the magnetic susceptibility of the material or χ = (μᵣ − 1). Magnetization, M = χH = (μᵣ − 1)H = (500 − 1) × 500 A m⁻¹ = 499 × 500 A m⁻¹ = 2.495 × 10⁵ A m⁻¹ ≈ 2.5 × 10⁵ A m⁻¹.

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