An inductance L, resistance R, and ideal battery of emf $\varepsilon$ are wired in series. A switch in the circuit is closed at time 0, at which time the current is zero. At any later time t the current i is given by: A) ($\varepsilon$/R)(1 - e^-^Lt^/^R) B) ($\varepsilon$/R)e^-^Lt^/^R C) ($\varepsilon$/R)(1 + e^-^Rt^/^L) D) ($\varepsilon$/R)e^-^Rt^/^L E) ($\varepsilon$/R)(1 - e^-^Rt^/^L)

Question

Quizplus · Accepted Answer

The current in an RL circuit after the switch is closed is given by the equation i(t) = (ε/R)(1 - e^(-Rt/L)), where ε is the emf of the battery, R is the resistance, L is the inductance, and t is the time.

An Inductance L, Resistance R, and Ideal Battery of Emf ε\varepsilonε

An Inductance L, Resistance R, and Ideal Battery of Emf $\varepsilon$