A bridge voltmeter reads the exact difference between two divider node voltages. 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 bridge starts with two divider outputs

The left branch stays fixed. The right branch changes, so the bridge voltmeter reads the exact node-voltage difference.

Vbridge=VleftVrightV_{\text{bridge}}=\left|V_{\text{left}}-V_{\text{right}}\right|
Bridge difference ladderThe final table row is the rendered bridge.12 V3 ohm6 ohm4 ohm4 ohmV2 V+-4 V+-8 V+-6 V+-6 Vbridge

The difference grows as the right node drops

Read each row as left output, right output, then absolute difference. The balanced row is allowed to be exactly zero.

VleftVrightVbridge8 V8 V0 V8 V365 V45 V8 V6 V2 V\begin{array}{c|c|c}V_{\text{left}}&V_{\text{right}}&V_{\text{bridge}}\\8\ \text{V}&8\ \text{V}&0\ \text{V}\\8\ \text{V}&\tfrac{36}{5}\ \text{V}&\tfrac{4}{5}\ \text{V}\\8\ \text{V}&6\ \text{V}&2\ \text{V}\\\end{array}
Bridge difference ladderThe rendered row is the final bridge difference.12 V3 ohm6 ohm4 ohm4 ohmV2 V+-4 V+-8 V+-6 V+-6 Vbridge

The final row exceeds one volt

For the rendered row, the bridge difference is 2 volts, above a one-volt strict threshold.

2 V>1 V2\ \text{V}>1\ \text{V}
Bridge difference ladderThe voltmeter value matches the final row.12 V3 ohm6 ohm4 ohm4 ohmV2 V+-4 V+-8 V+-6 V+-6 Vbridge