The voltage across a resistor in an electrical circuit is defined by Ohm's Law, expressed as v(t) = R · i(t), where R represents resistance and i(t) is the current. The discussion highlights confusion regarding an example from a textbook that mentions the square root of a term raised to the power of pi, which does not directly relate to standard voltage calculations. The participant suggests that the power as a function of time can be derived from the equation p(t) = v(t) · i(t), leading to the rearrangement p(t) = (v(t))² / R. This indicates a misunderstanding of the relationship between power and voltage in the context of resistive circuits.
PREREQUISITESStudents studying electrical engineering, educators teaching circuit theory, and anyone seeking to clarify the relationship between voltage, current, and resistance in electrical circuits.
