What is the formula used to calculate BHP for a 3-phase motor?

The formula used to calculate Brake Horsepower (BHP) for a 3-phase motor incorporates several factors that account for the electrical and mechanical characteristics of the motor. The correct formula multiplies current (in amps), voltage (in volts), power factor (PF), and efficiency, acknowledging the three-phase nature of the supply with the use of 1.73, which represents the square root of 3.

In a three-phase system, the power relationship is more complex than simply multiplying voltage and current because of the effect of the power factor, which represents the phase difference between voltage and current in AC systems. Therefore, multiplying by the power factor is critical for obtaining the actual power consumed by the motor.

The division by 746 converts the result from watts to horsepower, which is a standard unit of power. The inclusion of efficiency in the calculations ensures that the actual output power is considered, as not all the electrical energy consumed results in mechanical energy output due to losses in the motor system.

In summary, the correct choice effectively captures the essential components needed to calculate the Brake Horsepower for a 3-phase motor, ensuring accuracy by considering efficiency, voltage, current, and the necessary conversion factor to represent horsepower correctly.