An ideal transformer scales voltage by a checked turns ratio. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A turns ratio is a voltage scale

The primary side is fixed at 6 turns and 24 V. Only the secondary turns are allowed to move in the scan.

VsVp=NsNp{V_s \over V_p}={N_s \over N_p}
Transformer ratio setupThe source voltage and primary turns are pinned first.Np 6 turnsNs 2 turnsVp 24 VVs 8 V

The secondary voltage moves with secondary turns

The three rows keep the same primary side, so each secondary voltage is just the turns fraction times the source.

NsNpVpVs2624 V8 V3624 V12 V4624 V16 V\begin{array}{c|c|c|c}N_s&N_p&V_p&V_s\\2&6&24\ \text{V}&8\ \text{V}\\3&6&24\ \text{V}&12\ \text{V}\\4&6&24\ \text{V}&16\ \text{V}\\\end{array}

The secondary voltage is fixed by the turns ratio

The ideal transformer has 6 primary turns and 2 secondary turns, so the voltage scale is checked before any load claim.

Vs=VpNsNp=24 V2/6=8 VV_s = V_p {N_s \over N_p} = 24\ \text{V}\cdot2/6=8\ \text{V}
Ideal transformer voltage scaleThe checked turns ratio sets the output voltage.Np 6 turnsNs 2 turnsVp 24 VVs 8 V