Resistive long-time drift of an inductive sliding rod
= Resistive long-time drift of an inductive sliding rod
{title2=$v_\infty=Rmg\sin\theta/(B^2l^2\cos^2\theta)$}
For positive loop resistance, coupled mechanical and circuit equations relax toward constant sliding <speed> on sufficiently long rails. The steady current balances the downhill gravitational <force>, and <motional electromotive force> balances the resistive <voltage>. The undamped zero-resistance limit has no relaxation, so its late-time limit is singular.