capacitor-charge-snapshot-is-cv - Electronic Circuits XVI: Switched-Capacitor Charge and Conversion Step by Step

A switched-capacitor lesson starts with a finite capacitor state. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A capacitor snapshot binds one finite state

The displayed state is a checked capacitance and voltage row before any scan changes the voltage.

C=2\ \text{F}\quad V=6\ \text{V}

More voltage increases both charge and stored energy

The capacitance is fixed; each row recomputes charge and stored energy from the pinned voltage.

\begin{array}{c|c|c}V&Q&U\\3\ \text{V}&6\ \text{C}&9\ \text{J}\\6\ \text{V}&12\ \text{C}&36\ \text{J}\\9\ \text{V}&18\ \text{C}&81\ \text{J}\\\end{array}

A capacitor snapshot computes charge and energy

The checked row binds capacitance, voltage, charge, and stored energy before display.

Q=CV=2\ \text{F}\cdot6\ \text{V}=12\ \text{C}\quad U=36\ \text{J}