No, a pair of identical conductors carrying identical waves that are 180 degrees out of phase will not cancel each other out completely. In fact, they will not cancel each other out at all.
When we talk about canceling out waveforms that are 180 degrees out of phase, we typically refer to the interference of waves in a medium, such as the interference of sound waves or electromagnetic waves. This cancellation occurs due to the superposition principle, where waves with opposite phases (180 degrees out of phase) combine to produce destructive interference.
However, in the case of identical conductors carrying waves, cancellation does not occur because the waves are not interfering with each other in the same way as in a medium. Instead, each conductor independently carries the wave and acts as a separate path for the current or signal.
If two identical conductors are carrying waves that are 180 degrees out of phase, the resulting effect will depend on how these waves are being used or combined. In some cases, the waves may interfere constructively and amplify the signal, while in other cases, they may interfere destructively and partially cancel each other out. The exact outcome would depend on the specific setup and the intended application.
It's important to note that the concept of canceling out waves that are 180 degrees out of phase applies to wave interference phenomena and not necessarily to conductors carrying waves.