What formula represents the voltage drop across a resistor?

The formula that represents the voltage drop across a resistor is ( V = I \times R ). This relationship is derived from Ohm's law, which states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it and the resistance (R) of the conductor.

In this context, the formula illustrates that if the current flowing through the resistor increases, the voltage drop across the resistor will also increase, provided the resistance remains constant. This principle is fundamental in electrical circuit analysis, as it helps in understanding how voltage, current, and resistance interact in various electrical components.

The other options represent different physical concepts but do not accurately describe the voltage drop across a resistor in the context provided. For instance, ( V = R/I ) does not reflect the correct proportional relationship as established by Ohm's law, and is not commonly used in circuit analysis. Similarly, ( V = pL/A ) relates to voltage in the context of resistivity and geometrical factors, applicable for different scenarios such as in transmission lines but not for a simple resistor in a circuit. Lastly, ( V = I/R ) represents a rearrangement of Ohm's law but does not indicate the voltage drop