# Parallels between potential energy in mass/charge

To understand potential energy in mechanics it's easy to show something like this: Here the potential energy of the object is 1kg * 1m * g.

Now to demonstrate this same thing with electrical potential energy, let's call the floor/ground 0V, and the positive terminal of a battery the ball. Using the ball parallel, what would the + terminal of the battery be in the above picture -- would that be the ball? What about the "1m above ground" -- is there some similar conception in electricity? I would like to have a more intuitive understanding (such as a ball dropping).

• its voltage: energy of charge $q V$=$q h E$ where$E$ is the constant electric field analogus to $g$ – lineage Feb 2 at 0:06
• @lineage what is h ? – David542 Feb 2 at 0:07
• h is height above -ve terminal – lineage Feb 2 at 0:08
• @lineage thanks. So basically it's 'similar to' mgh = qEh, where E is like gravity, mass is like charge, and height is height? Also, what does the e in -ve stand for (negative voltage, but e?) – David542 Feb 2 at 0:10
• short for negative – lineage Feb 2 at 0:34

The increase in gravitational potential energy in raising your ball of mass $$m$$ a height $$h$$ is $$mgh$$.
The increase in electrical potential potential energy in moving a charge $$Q$$ from the negative to positive terminal of the battery with voltage $$V$$ is $$QV$$.