Further connections can be developed mathematically; electric force propagation does obey wave equations, after all. But by then the analogy has served its purpose and should be droppped in favor of more rigorous knowledge development.
Further connections can be developed mathematically; electric force propagation does obey wave equations, after all. But by then the analogy has served its purpose and should be droppped in favor of more rigorous knowledge development.
I was never taught the water analogy but I saw quite a few students struggle trying to wrap their heads around a physics (EM, RF, potentials, etc) based circuit design and theory.
No problem.
Even basic circuit theory (Kirchhoff's laws) falls apart when the preponderance of propagating wavelengths become close to the characteristic length of the propagating medium.
Then that "wrong" simplifying model must transition to the much more complex transmission line theory.
By the same analogy, one doesn't use basic Bernoulli pressure/velocity/flow equations for plumbing when dealing with chaordic or turbulent flows outside of very limited Reynolds number regimes--one has to do numeric simulations of the more general Naiver-Stokes vector differential equations.