Final answer:
The Full bridge strain gauge circuit has the highest sensitivity followed by the Half bridge, with the Quarter bridge having the least sensitivity to strain measurements.
Step-by-step explanation:
The sensitivities of Quarter, Half, and Full bridge strain gauge circuits are an important consideration when measuring strain in various materials. In these circuits, strain gauges change their resistance by an amount ΔR which is proportional to the strain experienced. For small changes where ΔR << R0, the sensitivity of each bridge configuration can be analyzed. The Quarter bridge has one active strain gauge and thus has the least sensitivity, meaning it produces less voltage change for a given strain. The Half bridge, with two active gauges, has intermediate sensitivity, and the Full bridge, with all four gauges active, offers the highest sensitivity, producing the largest voltage change for a given strain. Because sensitivity is crucial in accurate measurements, Full bridge configurations are often preferred for applications requiring high precision.