Definition:Transient/Electronics

Definition
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 $t$.


 * [[File:CircuitRLseries.png]]

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:
 * $\paren {I_0 - \dfrac {E_0} R} e^{-R t / L}$

which dies away to zero over time, is known as the transient part.

Also see

 * Definition:Steady-State/Electronics