The relationship P = VI represents which of the following?

The relationship expressed in the equation P = VI signifies that power (P) is equal to voltage (V) multiplied by current (I). This fundamental concept from electrical engineering illustrates how electrical power is calculated in a circuit. Power, measured in watts, represents the rate at which electrical energy is consumed or produced.

By multiplying voltage (the potential difference that pushes electric charge through a circuit) by current (the flow of electric charge), we determine the power being used or generated in that circuit. This relationship is crucial for understanding various electrical components and how they behave under different loads. It allows engineers and technicians to assess how much power will be consumed by devices, ensuring proper power supply and performance.

The other relationships, while relevant to electrical concepts, do not correspond to this specific equation. For example, the notion that current equals voltage times resistance describes Ohm's law (I = V/R), while power expressed as resistance times current is derived from rearrangements of Ohm's Law, leading to the calculation of different electrical parameters. The relationship of energy with voltage and current as presented in the last option is also not mathematically accurate in this context.