packet-capacitance-frequency-current-scan - Electronic Circuits XVI: Switched-Capacitor Charge and Conversion Step by Step

Packet current changes with capacitance, voltage swing, and clock frequency. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Packet current has capacitance, swing, and clock factors

A switched-capacitor current is not just a clock number; packet size and clock rate both matter.

I_{\text{avg}}=C\Delta V f

Changing any factor changes the average current

The rows isolate capacitance, voltage swing, and frequency one group at a time.

\begin{array}{c|c|c|c|c}\text{scan}&C&\Delta V&f&I_{\text{avg}}\\C\ \text{changes}&1\ \text{F}&3\ \text{V}&2\ \text{Hz}&6\ \text{A}\\C\ \text{changes}&2\ \text{F}&3\ \text{V}&2\ \text{Hz}&12\ \text{A}\\C\ \text{changes}&3\ \text{F}&3\ \text{V}&2\ \text{Hz}&18\ \text{A}\\\Delta V\ \text{changes}&2\ \text{F}&2\ \text{V}&2\ \text{Hz}&8\ \text{A}\\\Delta V\ \text{changes}&2\ \text{F}&3\ \text{V}&2\ \text{Hz}&12\ \text{A}\\\Delta V\ \text{changes}&2\ \text{F}&4\ \text{V}&2\ \text{Hz}&16\ \text{A}\\f\ \text{changes}&2\ \text{F}&3\ \text{V}&1\ \text{Hz}&6\ \text{A}\\f\ \text{changes}&2\ \text{F}&3\ \text{V}&2\ \text{Hz}&12\ \text{A}\\f\ \text{changes}&2\ \text{F}&3\ \text{V}&4\ \text{Hz}&24\ \text{A}\\\end{array}

The final packet row multiplies all three checked factors

The current row cites the accepted cycle before using the packet formula.

2\ \text{F}\cdot3\ \text{V}\cdot2\ \text{Hz}=12\ \text{A}