Unformatted text preview: t ) C1 dv(t )
dv(t ) C2 C3 C1 C2 C3 Ceq dt
dt The equivalent capacitance of the capacitors in parallel would be sum of individual capacitances: Ceq C1 C2 C3 When capacitances are in series, the charge in each of them will be identical as charge will be separated into positive and negative between two nearby conductor plates, but cannot move through the insulators. C1 C2 C3 v1 v2 v3 v 62 EE1002 Introduction to Circuits and Systems q1 (t ) q2 (t ) q3 (t ) q (t ) We can use the relationship between the voltage and charge stored as v1 (t ) q1 (t ) q (t ) C1
C1 v2 (t ) q2 (t ) q(t ) C2
C2 v3 (t ) q3 (t ) q (t ) C3
C3 From KVL, the total voltage across the capacitors is the sum of individual voltage drops across the capacitors: v1 (t ) v2 (t ) v3 (t ) v(t )
q (t ) q(t ) q(t )
1 q (t ) q (t ) C1
C3 C1 C2 C3 Ceq
The value of the equivalent capacitance will be: 1
1 Ceq C1 C2 C3 It is worth mentioning that the resistances and capacitances follow opposite formulas for series and parallel connection. Capac...
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This document was uploaded on 01/20/2014.
- Winter '14