Lately I've been noticing that when the microwave cycles on half-power
setting, the lights in the kitchen and every where else on that
particular circuit flickers perilously along with it. Sometimes just
turning on the kitchen light makes the other room lights flicker.

I suspect a short, but since nothing ever trips a circuit breaker, it
doesn't seem to be anything I can definitely put my finger on to test or
repair. Does anybody have any suggestions for tracking down this
problem?

Ron