Physics-Self & Mutual Induction

NEET Physics Self & Mutual Induction MCQ Question

Type: MCQ-numerical-Hard-Class 12

A solenoid of length 0.5 m and cross-sectional area 0.01 m² is filled with a material of relative permeability 500. If the solenoid has 1000 turns, what is its self-inductance?

A

0.314 H

B

1.57 H

C

0.157 H

D

3.14 H

Correct Answer

Option B

Detailed Explanation

The self-inductance L of a solenoid is given by the formula L = μ₀μr n² A l, where μ₀ = 4π × 10⁻⁷ Tm/A, μr = 500, n = 1000 turns/0.5 m, A = 0.01 m², and l = 0.5 m. Substituting these values gives L = 1.57 H.

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