Solved: An electrical circuit consists of a capacitor of constant capacitance C = 1.1

Chapter 5, Problem 5

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An electrical circuit consists of a capacitor of constant capacitance C = 1.1 farads in series with a resistor of constant resistance Ro 2.1 ohms. A voltage (l) 1 lOsinr is applied at time / = 0. When the resistor heats up, the resistance becomes a function ofthe current i, R(t) Ro + ki, where k = 0.9, and the differential equation for i(!) becomes / 2k \ di I . I d I 1 + l ) h 1 . V Ro J di RqC R0C dt Find i(2), assuming that i(0) = 0.

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