The relationship between voltage, current, and resistance in an electrical circuit can be expressed through a fundamental principle. This principle states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. For instance, if the voltage across a resistor doubles, the current through it also doubles, provided the resistance remains constant.
This relationship provides a foundational understanding of electrical circuits, enabling calculations of current flow, voltage drops, and power dissipation. It is instrumental in circuit design, troubleshooting, and electrical safety practices. Its development marked a significant advancement in electrical theory, providing a quantifiable basis for understanding and predicting circuit behavior.