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Consider the electric circuit $K$ consisting of:

a resistance $R$
an inductance $L$

in series with a source of electromotive force $E$ which is a function of time $t$.


Let the electric current flowing in $K$ at time $t = 0$ be $I_0$.

Let a constant EMF $E_0$ be imposed upon $K$ at time $t = 0$.

The electric current $I$ in $K$ is given by the equation:

$I = \dfrac {E_0} R + \paren {I_0 - \dfrac {E_0} R} e^{-R t / L}$

The term $\dfrac {E_0} R$ is known as the steady-state part of $(1)$.

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