What is the formula for calculating horsepower (Hp) given voltage and current?

The formula for calculating horsepower based on voltage and current takes into account not only the electrical parameters but also efficiency and power factor, which are essential in converting electrical power into mechanical power. The correct formula includes the multiplication of voltage (E) and current (I) with efficiency (%Eff) and power factor (pf), while also factoring in the square root of 3 (1.732), which is commonly used in three-phase power calculations.

In alternating current systems, when we work with three-phase circuits, the power calculation is slightly more complex. The term "1.732" (the square root of 3) appears in the calculation because it accounts for the phase difference in a three-phase system. Thus, it is crucial to multiply by this factor to obtain the correct horsepower, given that the power in such systems is distributed across three phases.

In this context, the inclusion of the efficiency and the power factor indicates that the formula does not just yield the apparent power but rather the actual usable power output in horsepower. This means that the calculation reflects how effectively the electrical energy is converted into mechanical energy, which is an important consideration in real-world applications.

Therefore, the formula that correctly incorporates all these factors to calculate horsepower based on voltage and current,