Consider a circuit composed of a battery (ɛ= 20 V), a resistor (R = 10 Q) and an inductor (L = 1 mH) all connected in series. Before t=0, the system is in steady state and the current in the circuit i(t) is at its maximum possible value (Imax). At t=0, the battery is removed and replaced by a wire, the circuit then consists in a single loop with the inductor and the resistor in series (no more battery). (a) Find the current in the inductor i(t) as a function of time (provide details on how to find the solution including the exact value of Imax). (b) Do a schematic plot of the current in the inductor as a function of time and calculate the time constant of the system (c) How long will it take for the current i(t) to reach 0.367 (~1/e) of its initial maximal value Imaz ?

Consider a circuit composed of a battery (ɛ= 20 V), a resistor (R = 10 Q) and an inductor (L = 1 mH) all connected in series. Before t=0, the system is in steady state and the current in the circuit i(t) is at its maximum possible value (Imax). At t=0, the battery is removed and replaced by a wire, the circuit then consists in a single loop with the inductor and the resistor in series (no more battery). (a) Find the current in the inductor i(t) as a function of time (provide details on how to find the solution including the exact value of Imax). (b) Do a schematic plot of the current in the inductor as a function of time and calculate the time constant of the system (c) How long will it take for the current i(t) to reach 0.367 (~1/e) of its initial maximal value Imaz ?

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter24: Resistive-inductive-capacitive Parallel Circuits

Section: Chapter Questions

Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...

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