How is efficiency in AC induction motors calculated?

Efficiency in AC induction motors is an important metric that indicates how well the motor converts electrical energy (input power) into mechanical energy (output power). The correct formula for calculating efficiency is η = (Pout / Pin) * 100.

This formula represents efficiency as a percentage and is derived from the basic definition of efficiency, which is the output divided by the input, multiplied by 100 to express it as a percentage. Here, Pout represents the output power, which is the useful mechanical power produced by the motor, and Pin represents the input power, the total electrical power consumed by the motor.

Understanding this formula highlights the focus on maximizing mechanical output relative to the electrical input, emphasizing efficient performance. In practical applications, a higher efficiency value indicates that a greater proportion of the electrical energy is being effectively converted into useful work, which is critical for reducing energy consumption and operating costs in industrial settings.

Other calculations provided do not align with the concept of efficiency as they either involve incorrect operations or incorporate both input and output in ways that do not accurately measure performance relative to energy consumption. Hence, the chosen formula accurately captures the essence of how efficiency should be calculated.