When vectoring a 12470 volt 3-phase 4-wire system with a scale of 1/8 inch equal to 600 volts, what is the length of each vector?

In a 12470 volt 3-phase 4-wire system, you need to determine the length of each vector when vectoring with the specified scale of 1/8 inch equaling 600 volts. First, convert the system voltage to its corresponding scale length.

The vector length can be calculated by dividing the actual voltage by the scale factor. When using the scale of 1/8 inch for 600 volts, you can find the proportionate length for 12470 volts by setting up a ratio:

1/8 inch = 600 volts implies that for every increment of 600 volts, the length increases by an additional 1/8 inch.

To find the vector length for 12470 volts, you first divide the total voltage by the volts represented by one unit of length:

12470 volts / 600 volts = 20.78333

This calculation indicates that 12470 volts is equivalent to just over 20.78 increments of 600 volts. Since each increment corresponds to a length of 1/8 inch, you then multiply the number of increments by the scale (1/8 inch):

20.78333 * (1/8) inch = 2.59875 inches

When rounded,