# Reflecting on Line Current Calculation for a 15 HP Motor Connected in WYE

## How can we determine the line current for a 15 HP motor connected in WYE to a phase voltage of 400 volts?

Given that the motor is 80% efficient, what calculation method should be used to find the line current?

## Calculating Line Current for a 15 HP Motor Connected in WYE

A 15 HP motor connected in WYE to a phase voltage of 400 volts will have a line current of approximately 26.1 amps. To determine the line current, we need to use the power and efficiency information provided.

When dealing with electrical systems involving motors, understanding the concept of line current is crucial for proper operation and maintenance. In the case of a 15 HP motor connected in WYE to a phase voltage of 400 volts, the line current can be calculated using the power rating of the motor and its efficiency.

Firstly, we need to convert the power rating of the motor from horsepower (HP) to watts, as electrical calculations are generally done in watts. We know that 1 HP is equivalent to 746 watts, so for a 15 HP motor, the power input would be:

Power input = 15 HP * 746 watts/HP = 11,190 watts

Next, since the motor is stated to be 80% efficient, we can determine the power output by multiplying the power input by the efficiency:

Power output = 11,190 watts * 0.80 = 8,952 watts

To find the line current, we apply the formula that relates power, current, and voltage in a three-phase system:

Power (watts) = √3 * Line current (amps) * Line voltage (volts)

Solving for the line current, we get:

Line current ≈ 26.1 amps

Therefore, for a 15 HP motor connected in WYE to a phase voltage of 400 volts, the line current would be approximately 26.1 amps. This calculation considers the power input, power output, and efficiency of the motor in determining the line current value.