The correct answer is A) P = (E)(E)/R. This formula is the correct expression for calculating power (P) in an electrical circuit, according to Ohm's law. Power is equal to the square of the voltage (E) divided by the resistance (R). This formula is the appropriate one to use for determining power in a Coast Guard Captain's License Examination, as it accurately reflects the fundamental electrical principles that govern power calculations. The other options are incorrect because they do not properly capture the relationship between voltage, current, and resistance as defined by Ohm's law. For example, option B) P = E/R is missing the squared term for voltage, and options C) and D) do not correctly incorporate the variables in the power equation.