11.1 RC CIRCUIT EQUATIONS
First-order series RC circuit and parallel RC circuit are shown in Fig. 11.1-1 with all element variables identified. We choose the voltage across capacitor, vC(t), as the describing variable in both cases. If vC(t) is known in the series circuit, the current through capacitor can be obtained by multiplying the first derivative of vC(t) by C. Then the current through the resistor and voltage across it may be found. Similarly, all other element variables in the parallel RC circuit can be found if vC(t) in that circuit is known.
The differential equation governing the Series RC circuit is obtained by applying KCL at the positive terminal of the capacitor along with element equations of resistor and capacitor.
Get Electric Circuits and Networks now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
