Environmental Engineering Reference
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circuits. In this section, we examine the matrix stamps of capacitors
and inductors in circuits with externally clocked switches.
2.6.1 Capacitors
Consider a linear time-invariant capacitor C. Let the initial voltage
of the capacitor be The capacitor is connected to nodes and
with its current flowing from node to node The constitutive
equation governing the capacitor in the Laplace domain is given by
where and are the Laplace transform of the capacitor current
and that of the voltage respectively. Eq.(2.10) can be written
equivalently in the time domain as
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