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Kirchhoffs voltage law states that the sum of the voltage drops across an inductor, L dI/dt, and across a resistor, IR, must be the same

Kirchhoffs voltage law states that the sum of the voltage drops across an inductor, L dI/dt, 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 dI/dt+IR=E(t). If a 12-volt battery is connected to an RL circuit with a henry inductor, L, and a 10 ohm resistor, R , find the current I(t) given that I(0)=0.

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