What does Kirchhoff's Voltage Law (KVL) state about electrical potential differences in a closed network?

• A. The sum is equal to the total voltage supplied
• B. The sum is zero
• C. The sum equals the total current
• D. The sum is equal to the resistance

Answer: (B)

Kirchhoff's Voltage Law (KVL) states that the algebraic sum of all electrical potential differences (voltages) around a closed circuit loop must equal zero. This principle is based on the law of conservation of energy, meaning that the energy supplied by voltage sources in the loop is used up by the various circuit elements (like resistors, capacitors, etc.) within that loop.

When you analyze a closed path in a circuit, the voltages supplied by sources (like batteries) will increase the potential, while the voltage drops across elements (like resistors) reduce the potential. According to KVL, these voltages must balance out such that when you account for every voltage in the loop, the total should equal zero. This indicates that energy is conserved within the system, and no energy is lost when traveling around the circuit loop.

This concept is crucial for circuit analysis, as it allows engineers and technicians to set up and solve equations based on the voltages in various parts of the circuit, ensuring that they adhere to the fundamental laws of electricity. Understanding this law helps in analyzing both simple and complex circuits, making it a foundational principle in electrical engineering.