A bridge is balanced when two divider nodes have the same exact 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 left divider output is exact

The left divider output is 8 volts.

Vleft=8 VV_{\text{left}} = 8\ \text{V}
Balanced bridgeThe left and right divider nodes are compared.12 V3 ohm6 ohm4 ohm8 ohmV0 V+-4 V+-8 V+-4 V+-8 Vbridge

The right divider output matches

The right divider output is also 8 volts, so the bridge meter reads 0 volts. The bridge voltmeter is ideal and does not load the bridge.

Vbridge=0 VV_{\text{bridge}} = 0\ \text{V}
Balanced bridgeEqual node voltages give zero bridge voltage.12 V3 ohm6 ohm4 ohm8 ohmV0 V+-4 V+-8 V+-4 V+-8 Vbridge