Electrical Engineering ⇒ Topic : Step Response of R-C Circuit
STEP RESPONSE OF R-C CIRCUIT
Figure (a) shows a series R-C circuit. The capacitance of the circuit has an initial charge qo such that it opposes the flow of charging current. Let the switch be closed at t = O.
Figure (a) Series R-C circuit.
The circuit equation in time domain is given by
The Laplace transform of Eq. (1) is given by
In the above equation, the term i(0 -) represents the initial current of the circuit such that
Taking the inverse Laplace transform, we obtain
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