Is there a difference between potential and potential energy?
Why?
I don't understand completely. I think there is a difference and
that they have different units. Could you explain?
Electric potential is the potential energy per unit charge, just as
electric field is the force per unit charge. It's a way to describe
the system independent of the "test charge".
So if it takes 10 eV of energy to move a single elementary charge
(like a proton) from A to B, we say the difference in the proton's
potential energy is 10 eV between those points. But independent of
the proton, we say the difference in potential between those two
points is 10 Volts.
The charge we're moving has potential energy U. The field we're
moving it through has potential. V = U/q, or U = qV.
Electric potential at a point in an Electric field (for
instance, let's take it as uniform) is the amount of work done in
moving a unit positive charge from infinity to that point against
electric forces. (attraction or repulsion)
whereas Electric potential difference between two points in an
Electric field is defined as the amount of work done in moving unit
positive charge from one point to another point against the
electric force.
In other words, Potential difference is simply the difference of
scalar potentials between two points or anything you
consider.
Electric potential at a point is given by
V=q/4??r
But, Potential energy requires the magnitude of another charge
also... If r is the distance of separation of two charges, P.E. is
given by
Ep=qQ/4??r.
In other words, Ep= VQ
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