Problem #0246 Electricity & Magnetism Sub-menu Problem #0248 Chapters Chapters

517.

Problem 38.3 (RHK)

A solenoid is wound with a single layer of insulated copper wire (diameter, 2.52 mm). It is 4.10 cm in diameter and 2.0 m long. We have to find the inductance per meter for the solenoid near its centre. We may assume that adjacent wires touch and that insulation thickness is negligible.

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The diameter of the insulated copper wire, .

Length of the solenoid, .

The diameter of the solenoid,

The cross-sectional area of the solenoid will be

As the solenoid has been closely wound with adjacent loops touching each other, the number of turns per unit length of the winding will be

.

Therefore, inductance per meter for the solenoid near its centre will be given by