All Problems

Constant Magnetic Field, Magnetics

Problem 3.236

A single-layer coil (solenoid) has length \(l\) and cross-section radius \(R\), A number of turns per unit length is equal to \(n .\) Find the magnetic induction at the centre of the coil when a current \(I\) flows through it.

Reveal Answer
B=μ0nI/1+(2R/l)2B=\mu_{0} n I / \sqrt{1+(2 R / l)^{2}}