equivalent-resistance-inverse-factor-scan - Electronic Circuits XVI: Switched-Capacitor Charge and Conversion Step by Step

More packet current lowers the equivalent resistance for the same voltage swing. 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 uses the same packet voltage and current

The inverse trend comes from current increasing while the voltage difference stays the same.

R_{\text{eq}}={\Delta V\over I_{\text{avg}}}

More capacitance or more clock rate lowers equivalent resistance

The two scan groups show the inverse relation through the cited packet current, not by a standalone resistance label.

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

The final resistance row divides the cited packet voltage by current

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

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