The strain gauge is a passive resistive transducer that converts mechanical forces into a change in electrical resistance. There are different types of strain gauges including wire gauges, foil gauges, and semiconductor gauges. Wire gauges can be unbonded or bonded to measure strain, while foil gauges consist of a grid of fine resistance wires bonded to a carrier material. Semiconductor gauges use materials like silicon and germanium that change resistance due to their piezoresistive effect when strained.