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Question

The iron core of a solenoid has a length of 40 cm and a cross-section of 4.0 cm x cm, and is wound with 10 turns of wire per cm of length. Compute the inductance of the solenoid, assuming the relative permeability of the iron to be constant at 500.

Moderate

Solution

$L = μ_{r} μ_{0} n^{2} Al = 500 \times 4 π \times 10^{- 7} \times 10^{6} \times 4 \times 10^{- 4} \times 40 \times 10^{- 2} = 0 .1 H$

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