Gravity equivalent of Ohm's law

[vanhees71]

I still don't understand, where there should be an analogy between Ohm's Law and Newtonian gravitation. Maybe, if you consider the simple Drude model of conductivity, it's the fall of a not too fast body including linear friction, but what does this analogy help in any way. At the end you have to solve the (not too complicated) equation of motion
$$\ddot{x}=g-\gamma \dot{x}.$$
Where $g=q E/m$ for a charge in a homoegeneous electric field within a conductor or $g=9.81 \, \text{m}/\text{s}^2$ and $\gamma$ some friction coefficient.

 

[sophiecentaur]

I still don't understand, where there should be an analogy between Ohm's Law and Newtonian gravitation.

Shared maths formulae is not 'analogy'. If that's all that's needed then any straight line would do. We are chasing our tails here. As I commented further up, analogies are best kept as a personal secret or between two people who really are on the same hymn sheet. Trying an analogy with a class of kids can guarantee some of them will get it wrong - if your criterion is other than to make them vaguely familiar with an idea.
Also, this hymn sheet must include shared class, social culture and generations. Try to use the water analogy with someone who uses a pump for their water supply, for instance. They may be far more familiar with the electrical circuit of their solar panels than a non-existent running water supply. Other non-parallels may be much more subtle.

If God had intended us to use analogies, he would never have given us MATHS.

 

[anorlunda]

Shared maths formulae is not 'analogy'.

What he said.