to model this
using ideal components, [...]
So I'm slightly confused; you talk about the
model being a parallel
resistor (which I get), but then switch to a series resistor. Why
the switch?
The two resistors model two different ways in which a capacitor is not
ideal. The parallel resistor models DC leakage; the series resistor
models losses in AC current through the capacitor.
The term "ESR" refers to only the second one; it stands for, IIRC,
Equivalent Series Resistance.
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