What is the approximate voltage drop in a 125 ft. long circuit connected to a 3-phase, 208 volt, 5 hp motor supplied with 10 AWG copper conductors?

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To determine the approximate voltage drop in the given circuit scenario, it's important to apply the formula for calculating voltage drop in a three-phase system. The formula takes into account the length of the circuit, the current carried by the conductor, the resistance of the wire, and the number of phases.

In a three-phase system, the voltage drop can be calculated using the formula:

Voltage Drop (V) = √3 × I × R × L

Where:

  • I = Current (in Amperes)

  • R = Resistance of the wire (in ohms per foot)

  • L = Length of the circuit (in feet)

First, you need to calculate the current based on the motor's power. For a 5 hp motor, the current drawn can be calculated using the formula:

I = (Horsepower × 746) / (√3 × Voltage)

Substituting the values for the motor's power and voltage gives you the current. Knowing that 1 hp is equivalent to 746 watts, a 5 hp motor is using 3730 watts. With 208 volts and considering the three-phase system, you derive the current.

Once the current is determined, you can look up the resistance for 10 AWG copper conduct

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