Wacked,
Think of a simple series circuit containing 3 resistances: R1 can represent the resistance of one lead wire (L1), R3 can represent the resistance of the other lead wire (L2 or Neutral), and R2 can represent the impedance of the motor. As you know, the total voltage drop accross the entire curcuit (equal to the source voltage) will be split proportionally accross the 3 resistances.
So if the resistance values of R1 and R3 are increased, say by providing smaller wire, then the voltage drop accross R1 and R3 will increase proportionally, and the voltage drop accross R2 (the motor) will decrease proportionally.
The result is the motor will see less voltage, and will draw more current to maintain the connected power requirement.
Hope that helps some.
Radar
