A turns-ratio-scales-voltage scan holds the primary turns and primary voltage fixed and varies the secondary turns across three rows, checking that V_s = V_p * N_s / N_p tracks the turns ratio row by row. The arithmetic is exact only for the stated turns counts, voltages, and rows in the ideal lossless, perfectly coupled transformer model. Real transformers add winding resistance, leakage flux, core losses, magnetizing current, frequency rolloff, probe/calibration limits, finite precision, and measurement uncertainty.
An ideal transformer voltage claim starts with turns and one primary 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 primary voltage is divided by the turns ratio
The primary side has 12 V. With one shared ideal flux, secondary turns choose the secondary voltage.
Vs=VpNpNs
More secondary turns gives more secondary voltage
The primary turns and primary voltage stay fixed while secondary turns change.
Np444Ns123Vp12V12V12VVs3V6V9V
The secondary voltage follows the turns ratio
This is an ideal same-flux voltage ratio. Load current and magnetizing current are not being modeled in this first ledger.