Find the solution to the differential equation in part a

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Reference no: EM13275924

Consider an electrical circuit consisting of a battery, an inductor, and a resistor in series. Kirchoff's voltage law implies that, if I(t) is the current in the circuit, the sum of the voltage drop across the inductor (given by LI'(t)) and the resistor (given by RI(t)) is equal to the battery voltage V. (L and R are constants)
(a) Write down a differential equation modeling the current I(t)
(b) Assume that V=0 and I(0)=Io. Find the solution to the differential equation in part a.
(c) Assume that V>0 is a constant and I(0)=0. This corresponds to adding a switch to the circuit, and turning it on at time t=0. Find the solution.

Reference no: EM13275924

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