In Figure, a three-phase generator G produces electrical power that is transmitted by means of three wires. The electric potentials (each relative to a common reference level) are V1 = A sin w d t for wire 1, V 2 = A sin (w d t = 120?) for wire 2, and V 3 = A sin (w d t = 240?) for wire 3. Some types of industrial equipment (for example, motors) have three terminals and are designed to be connected directly to these three wires. To use a more conventional two terminal device (for example, a lightbulb), one connects it to any two of the three wires. Show that the potential difference between any two of the wires

(a) Oscillates sinusoid ally with angular frequency w d and

(b) Has amplitude of A??3.

-1 02 03 Three-wire transmission line