Parallel capacitors share voltage, so their charge capacities add. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Parallel capacitors share voltage

Parallel capacitors connect to the same two nodes, so they share voltage.

Va=VbV_a = V_b
Parallel capacitorsBoth capacitors connect between the same buses.2 F3 F

Add capacitances in parallel

The capacitances are 2 farads and 3 farads.

Ceq=2 F+3 FC_{\text{eq}} = 2\ \text{F} + 3\ \text{F}

Compute equivalent capacitance

The equivalent capacitance is 5 farads.

Ceq=5 FC_{\text{eq}} = 5\ \text{F}
Parallel capacitorsBoth capacitors connect between the same buses.2 F3 F

Parallel addition keeps adding storage

Each row connects two capacitors across the same buses. The diagram shows the middle row, where direct addition gives the equivalent capacitance.

CaCbCeq1 F2 F3 F2 F3 F5 F3 F4 F7 F\begin{array}{c|c|c}C_a&C_b&C_{\text{eq}}\\1\ \text{F}&2\ \text{F}&3\ \text{F}\\2\ \text{F}&3\ \text{F}&5\ \text{F}\\3\ \text{F}&4\ \text{F}&7\ \text{F}\\\end{array}
Parallel capacitorsThe middle table row is the checked topology.2 F3 F