10.4 STEP RESPONSE OF AN RL CIRCUIT BY SOLVING DIFFERENTIAL EQUATION

We have already derived the first order linear differential equation with constant coefficients that describe the behaviour of the inductor current in a series RL circuit for all t. This governing differential equation is

 

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where τ = L/R, iL(t) is the current in the inductor (as well as the circuit current) and vS(t) is the input voltage source function (also called excitation function, forcing function, input function, etc.) which must be defined for all t if Eqn. 10.4-1 is to be used.

Notice that the domain of the functions appearing in the governing differential equation ...

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