switched-capacitor-has-equivalent-resistance - Electronic Circuits XVI: Switched-Capacitor Charge and Conversion Step by Step

A packet-current row can be viewed as a finite resistance ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Equivalent resistance reuses the packet voltage and current

The resistance row is accepted only if its voltage difference matches the cited packet row.

\Delta V=4\ \text{V}\quad I=4\ \text{A}

A faster packet clock lowers the equivalent resistance

Each row keeps the same packet swing and recomputes current and resistance.

\begin{array}{c|c|c}f&I_{\text{avg}}&R_{\text{eq}}\\\tfrac{1}{4}\ \text{Hz}&2\ \text{A}&2\ \text{ohm}\\\tfrac{1}{2}\ \text{Hz}&4\ \text{A}&1\ \text{ohm}\\1\ \text{Hz}&8\ \text{A}&\tfrac{1}{2}\ \text{ohm}\\\end{array}

The packet row gives an equivalent resistance

The resistance uses the same voltage difference as the cited packet row.

4\ \text{V}/4\ \text{A}=1\ \text{ohm}