An inductance L, resistance R, and ideal battery of emf are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is /R.At any later time t the potential difference across the resistor is given by: A)(1 - e^-Lt^/^R) B)e^-^Lt^/^R C)(1 + e^-Rt^/^L) D)e^-Rt^/^L E)(1 - e^-Rt^/^L)

Question

Quizplus · Accepted Answer

When the switch is opened, the current decays exponentially with time in an LR circuit. The potential difference across the resistor is given by Ohm's law, V = IR, where I = I₀e^(-Rt/L). Thus, the potential difference across the resistor is V = I₀Re^(-Rt/L).

An Inductance L, Resistance R, and Ideal Battery of Emf