When all four resistors in a bridge circuit are equal, the system achieves a balanced state, resulting in zero output voltage across the bridge. Introducing a Resistance Temperature Detector (RTD) as one of the resistors alters this balance, causing a change in output voltage proportional to the temperature variation detected by the RTD. This change in resistance affects the overall circuit response, allowing for temperature measurement. The behavior of the bridge circuit is crucial for applications in temperature sensing and control. Understanding these dynamics is essential for effective circuit design and analysis.