Changing one resistor changes one divider node and creates an exact bridge 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

Changing one resistor changes the right node

The left node remains 8 volts, but the right node is now 6 volts.

Vleft=8 V,Vright=6 VV_{\text{left}} = 8\ \text{V},\quad V_{\text{right}} = 6\ \text{V}
Unbalanced bridgeChanging one resistor changes one divider output.12 V3 ohm6 ohm4 ohm4 ohmV2 V+-4 V+-8 V+-6 V+-6 Vbridge

The bridge meter reads the difference

The exact bridge difference is 2 volts.

Vbridge=2 VV_{\text{bridge}} = 2\ \text{V}
Unbalanced bridgeThe voltmeter displays the computed difference.12 V3 ohm6 ohm4 ohm4 ohmV2 V+-4 V+-8 V+-6 V+-6 Vbridge