All Problems

Electric Oscillations

Problem 4.120

A long one-layer solenoid tightly wound of wire with re sistivity ρ\rho has nn turns per unit length. The thickness of the wire insulation is negligible. The cross-sectional radius of the solenoid is equal to aa. Find the phase difference between current and alternating voltage fed to the solenoid with frequency vv.

Reveal Answer
4.120. The current lags behind the voltage by phase angle φ,\varphi, defined by the equation tanφ=μ0π2va4nρ\tan \varphi=\frac{\mu_{0} \pi^{2} v a}{4 n \rho}.