polarity-output-limit-three-row-scan - Electronic Circuits XV & XVI: Transformers and Switched-Capacitor Conversion Step by Step

A polarity output-limit scan checks how aiding winding sources add before comparing the resulting output with a voltage ceiling. The pass/fail margins are exact only for the declared source voltages, winding polarity, turns/coupling assumptions, and ideal lossless transformer model; real coupled windings add leakage inductance, winding resistance, magnetizing current, core saturation, parasitic capacitance, heating, polarity mistakes, and voltage/current measurement uncertainty.

Aiding winding sources are checked against an output-voltage ceiling. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Aiding-polarity row 1

First source stays 6 V. Aiding second source 2 V gives output 8 V against a 10 V ceiling, so margin is 2 V.

m=2\ \text{V}\quad\text{pass}

Aiding-polarity row 2

First source stays 6 V. Aiding second source 4 V gives output 10 V against a 10 V ceiling, so margin is 0 V.

m=0\ \text{V}\quad\text{pass}

Aiding-polarity row 3

First source stays 6 V. Aiding second source 6 V gives output 12 V against a 10 V ceiling, so margin is negative 2 V.

m=-2\ \text{V}\quad\text{fail}