more-secondary-turns-raises-induced-voltage - Electronic Circuits XV & XVI: Transformers and Switched-Capacitor Conversion Step by Step

A more-secondary-turns-raises-induced-voltage scan holds the flux change and interval fixed and varies the secondary turns across three rows, checking that V_s = N_s * delta-phi / delta-t scales with turns row by row. The arithmetic is exact only for the stated turns counts, flux changes, time intervals, voltages, and rows in the ideal shared-flux, perfectly coupled transformer model. Real transformers add leakage flux, winding resistance, core loss, saturation, dot-marking/wiring error, probe/calibration limits, finite precision, and measurement uncertainty.

With flux and time fixed, turns scale voltage. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The same flux rate can feed many secondary turn counts

Primary turns, flux change, and interval stay fixed. The secondary winding is the changing part.

V_s=N_s{\Delta\Phi\over\Delta t}

Secondary voltage scales with secondary turns

The rows hold the flux-rate value fixed.

\begin{array}{c|c|c|c}\Delta\Phi&\Delta t&N_s&V_s\\\tfrac{1}{2}\ \text{Wb}&1\ \text{s}&2&1\ \text{V}\\\tfrac{1}{2}\ \text{Wb}&1\ \text{s}&4&2\ \text{V}\\\tfrac{1}{2}\ \text{Wb}&1\ \text{s}&8&4\ \text{V}\\\end{array}

More secondary turns raises the induced voltage

Flux change and interval stay fixed, so the turns count alone changes the voltage labels.

\tfrac{1}{2}\ \text{Wb}/1\ \text{s}\quad8\rightarrow4\ \text{V}