When vectoring a 12000 volt 3-phase 3-wire system, what is the length of each vector if 1/8 inch equals 500 volts?

In a 12000 volt 3-phase 3-wire system, the total voltage of the system needs to be represented in terms of the vector length using the provided scale of 1/8 inch for every 500 volts.

To begin with, we first need to determine the total voltage represented on the vector diagram. In a 3-phase system, the voltage is usually represented as a line-to-line voltage, and for a 12000 volt system, this is straightforward.

Next, we convert the 12000 volts into the equivalent vector length using the given scale. Since 1/8 inch represents 500 volts, we first figure out how many increments of 500 volts are in 12000 volts. This can be done by dividing 12000 by 500, which yields 24.

Now, each increment of 500 volts corresponds to 1/8 inch. To find out the total length in inches, we need to multiply the number of increments (24) by the length represented by each increment (1/8 inch). This calculation is done as follows:

24 increments * (1/8 inch per increment) = 24/8 inches = 3 inches.

Thus, each vector in the diagram for