What is the voltage drop on a 3-phase, 230-volt branch circuit supplying a 125-ampere load at a distance of 175 feet with 4/0 AWG THWN copper uncoated conductors?

To determine the voltage drop in a 3-phase branch circuit, we can use the following formula:

[

\text{Voltage Drop (V)} = \frac{\sqrt{3} \times I \times R \times L}{1000}

]

where:

• (I) is the current in amperes,

• (R) is the resistance of the conductor in ohms per 1000 feet,

• (L) is the one-way length of the circuit in feet.

For 4/0 AWG copper conductors, the resistance per 1000 feet is approximately 0.1 ohms.

Given:

• Current ((I)) = 125 A

• Distance ((L)) = 175 feet (one-way distance, thus for the round trip we consider 2 times this distance)

• Resistance ((R)) = 0.1 ohms per 1000 feet

First, calculate the total one-way length for the circuit, which is simply 175 feet. The round trip is accounted for by taking the length into consideration in the formula.

Now plug in the values:

[

\text{Voltage Drop (V)} = \frac{\sqrt{