dl dt Kirchhoff's voltage law states that the sum of the voltage drops across an inductor, and across a resistor, IR, must be the same as the voltage source, E (t), applied to the circuit. The resulting ODE model is L + IR = E(t). If a 12-volt battery is connected to an RL dl dt circuit with a ½ henry inductor, L, and a 10 ohm resistor, R, find the current I(t) given that 1(0) = 0.

dl dt Kirchhoff's voltage law states that the sum of the voltage drops across an inductor, and across a resistor, IR, must be the same as the voltage source, E (t), applied to the circuit. The resulting ODE model is L + IR = E(t). If a 12-volt battery is connected to an RL dl dt circuit with a ½ henry inductor, L, and a 10 ohm resistor, R, find the current I(t) given that 1(0) = 0.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A: Solution -

Question

dl
dt
6. Kirchhoff's voltage law states that the sum of the voltage drops across an inductor, L and
across a resistor, IR, must be the same as the voltage source, E (t), applied to the circuit.
The resulting ODE model is L+ IR = E(t). If a 12-volt battery is connected to an RL
dt
circuit with a ½ henry inductor, L, and a 10 ohm resistor, R, find the current I (t) given that
I(0) = 0.

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