Answered: A solenoid of radius 4 cm has 250 turns…

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A solenoid of radius 4 cm has 250 turns and a length of 20.0 cm. Find its inductance

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Question

A solenoid of radius 4 cm has 250 turns and a length of 20.0 cm. Find its inductance

Expert Solution

Introduction:

When AC current passes through an inductor the magnetic field created will induce an emf inside the inductor which will resist the flow of current. This tendency is called inductance.

The inductance of the solenoid is directly proportional to the square of the number of turns and cross-sectional area, and it is inversely proportional to the length of the solenoid. It is given by,

$L = μ_{0} N^{2} \frac{A}{l}$

Here, μ₀ is the permeability of free space, N is the number of turns of the solenoid, A is the area, and l is the length of the solenoid.

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