I spent quite a bit of time doing electronics and often water analogies are the best way to describe electrical flows... which are, after all, electrons flowing from earth to fill vacuums.
But what really worked for me was learning ohms law which basically states that Voltage, Current and Resistance are always in a relationship together. Multiply two to get the third. Divide two to get the third etc.
Voltage is potential and current is the action. Resistance is the amount of action divided from the potential. Therefore to have the least resistance Potential and action must be kept as small as possible.
A real world example might be that if you have much to achieve, a big potential, then small steps, as in small amounts of action, keep the resistance low. Alternatively if you aren't required to achieve much the larger amounts of action still keep the resistance low.
Another way, and this may be the most revealing, is that often we need to acheive much and it requires lots of action therefore we need a conductor, something through which potential pushes action, that offers the least amount of resistance. Gold is the best conductor with silver then copper then aluminium followed by steel being metals that conduct electricity = energy. From gold to steel we have metals we have the most malleable to the least with the application of heat making them all more so... even to a point where they melt. Work through a conductor also increases resistance proportional to the amount of action and losses are incurred as heat by friction.
Occams razor is also a good set of principles to see the idea of what the path of least resistance means.
Basically, though, our society tends to be about increased resistance as we all have to be paid for our work so there is a real tendency to do more work than is required simply to increase the acknowledgement of work done. This is so pervasive that many people think if work isn't hard or difficult then it is hardly worth doing.
So with that in mind often the path of least resistance is about looking carefully at what you want to achieve and realising possible other ways, than the initially obvious, to get what needs getting.
I learned about this many years ago in an article in a guitar magazine. The article was about a man who had come up with new and radical ways to build guitars, acoustic ones.
He knew that a specific job on a guitar, doing it the traditional way, would take, say an hour so he realised that he could sit back for 3/4 of an hour and think about a way to do the original work a different way, achieving the same outcome, for the last 1/4 hour.
So often the path of least resistance is about changing, and challenging, the nature of potential, while enlarging the scope of possible actions and being in a conducive mode that suits the outcome.