All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.315

How many metres of a thin wire are required to manufacture a solenoid of length \(l_{0}=100 \mathrm{~cm}\) and inductance \(L=1.0 \mathrm{mH}\) if the solenoid's cross-sectional diameter is considerably less than its length?

Reveal Answer
l=4πl0L/μ0=0.10 kml=\sqrt{4 \pi l_{0} L / \mu_{0}}=0.10 \mathrm{~km}