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Electronic Formulas / Formulae

Charge Division by Parallel Capacitances Formula Calculation

When a voltage EP is applied to parallel connected capacitances C1 and C2, the charge QP which accumulates in the parallel circuit is:

QP = òiPdt = EPCP = EP(C1 + C2)

The charges Q1 and Q2 which accumulate in the respective capacitances C1 and C2 are:

Q1 = òi1dt = EPC1 = QPC1 / CP = QPC1 / (C1 + C2)

Q2 = òi2dt = EPC2 = QPC2 / CP = QPC2 / (C1 + C2)

In general terms, for capacitances C1, C2, C3, ... connected in parallel:

QP = òiPdt = EPCP = EP(C1 + C2 + C3 + ...)

Qn = òindt = EPCn = QPCn / CP = QPCn / (C1 + C2 + C3 + ...)

Note that the highest charge accumulates in the highest capacitance.

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