[ratdude747]

Originally Posted by Jalerre

I strongly suggest that you don't disassemble electrical components in the future as it is against the rules (R66). Also it can lead to broken parts, such as your situation.

PS The "3 prong connector" is referred to as a PWM (Pulse Width Modulation) cable.

Actually R66 does allow for disassembly if your intentintion is repair. R66.M:

Originally Posted by FRC 2016 R66 1/10/2016

M.Devices may be repaired, provided the performance and specifications of the device after the
repair are identical to those before the repair.

That said, (to the OP mainly) beware of the blue box that follows:

Originally Posted by FRC 2016 R66 Blue Box 1/10/2016

Please note that while repairs are permitted per the FIRST Robotics
Competition Game Manual, the allowance is independent of any
manufacturer’s warranty. Teams make repairs at their own risk and
should assume that any warranty or RMA options are forfeited. Be
aware that diagnosing and repairing COMPONENTS such as these can
be difficult.

Basically, if you have no idea how it works inside, see if you can swap under warranty first. If a warranty swap isn't doable, I do suggest trying to fix it on one's free time (as learning experience if nothing else) and only using it for practice robot/prototyping purposes (unless you are very, very confident in your repair). After all, if it's broken beyond repair and you aren't able to warranty it out, what have you to loose?

(All of this said, if you DO know how these work and feel qualified to fix it, if you don't mind voiding warranties, go for it, repairing stuff is fun!)