Which of the following represents the relationship between voltage (V), current (I), and resistance (R)?

The correct answer is based on Ohm's Law, which establishes the fundamental relationship between voltage, current, and resistance in an electrical circuit. Ohm's Law states that the voltage (V) across a conductor is equal to the current (I) flowing through it multiplied by its resistance (R). This formula, V = I x R, is essential for understanding how electrical circuits function and is widely used in both theoretical and practical applications within the field of electrical engineering and entertainment technology.

In contrast, the other choices represent different equations or principles. The equation P = V / I relates to the calculation of power (P) based on voltage and current, which is derived from manipulating Ohm's Law but does not describe the direct relationship among voltage, current, and resistance. Similarly, P = I x R calculates power in terms of current and resistance, again not providing the relationship between voltage, current, and resistance directly. Lastly, R = P / I is another power-related formula but lacks relevance in establishing the foundational relationship of voltage, current, and resistance. Understanding these distinctions solidifies why the first option is the correct representation of the V, I, and R relationship.