The purpose of using a milli-ohmmeter or micro-ohmmeter is to measure very low resistance values with high precision and accuracy. These instruments are essential in applications where standard ohmmeters are inadequate due to their limited sensitivity and resolution. 
Milli-ohmmeters and micro-ohmmeters are used in various industries and applications, including:
1. **Electrical and Electronic Testing**: They are crucial for testing the resistance of electrical connections, contacts, and joints to ensure minimal resistance and optimal conductivity, which is vital for efficient electrical performance.
2. **Quality Control**: In manufacturing, these devices help in quality control by verifying the integrity of components such as cables, connectors, and circuit boards, ensuring they meet specified resistance standards.
3. **Maintenance and Troubleshooting**: They assist in diagnosing issues in electrical systems by detecting high-resistance connections or faults, which can lead to overheating, energy loss, or equipment failure.
4. **Material Testing**: These instruments are used to measure the resistivity of materials, which is important in research and development for selecting materials with desired electrical properties.
5. **Transformer and Motor Testing**: They are used to measure the winding resistance in transformers and motors, which is critical for assessing their condition and performance.
6. **Battery Testing**: In battery manufacturing and maintenance, they measure the internal resistance, which affects the battery's efficiency and lifespan.
Overall, milli-ohmmeters and micro-ohmmeters provide precise low-resistance measurements, ensuring the reliability and safety of electrical systems and components.