Which state describes a Wheatstone bridge that has equal voltages across the two branches?

A Wheatstone bridge is a configuration used to measure unknown electrical resistances by balancing two legs of a bridge circuit. In its balanced state, the ratio of the resistances in one leg of the bridge is equal to the ratio in the other leg. This results in equal voltage across the two branches of the bridge, leading to no current flow through the galvanometer connecting them.

When the bridge is balanced, the voltage measured across the galvanometer is zero, indicating that the potential difference is equal across both branches. This is crucial for accurately determining the unknown resistance, as any imbalance would yield different voltages and result in current flowing through the galvanometer.

Understanding this concept is essential for applications in precise measurement and calibration in various fields, including medical equipment maintenance and operations, where accurate readings are vital for patient safety and equipment reliability.