All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.316

Find the inductance of a solenoid of length \(l\) whose winding is made of copper wire of mass \(m .\) The winding resistance is equal to \(R\). The solenoid diameter is considerably less than its length.

Reveal Answer
L=μ04πmRlρρ0, where ρ and ρ0 are the resistivity and the density of copperL=\frac{\mu_{0}}{4 \pi} \frac{m R}{l \rho \rho_{0}}, \text { where } \rho \text { and } \rho_{0} \text { are the resistivity and the density of copper}
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