A single equivalent capacitor can replace many capacitors connected in parallel for specific
analysis purposes. We look into parallel equivalent and constraints on it in this section.
We consider parallel connection of ncapacitorsthat have no mutual electrostatic
couplingamong them. Let the capacitance values be C
1
, C
2,
…,C
n
. We assume that they have
the same initial voltage with the same polarity at t 0
–
. Let the applied current be i(t) and
the voltage across the parallel combination be v(t) (Fig. 3.7-1).
Applying KCL along with the element equation of capacitor, we get
i(t) = i
1
(t) + i
2
(t) + . . . + i
n
(t
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month, and much more.