Can someone explain to me the difference between potential and potential energy in details?And,work done in a conservative force field is the difference in potential or potential energy?

1 Answer
Apr 18, 2018

Potential basically tells us the ability of an object to do some work .

And Potential energy is the amount of energy it acquires due to that Potential difference.

Explanation:

"NOTE" - Mostly we talk of Potential difference rather than Absolute Potential because it is a relative quantity.

Potential Energy is the energy which arises due to the difference in Potential.

Important observation :-

  • Each object in the universe tries to attain low POTENTIAL state.
  • That's why electric charges (+ve or -ve) move from region of high potential to low potential.
  • Objects fall toward earth in the direction of decreasing POTENTIAL
  • Electrons tend to be near the nucleus of the atom #ie# in the region of least potential.

# Potential energy is a relative quantity, it depends on where we choose the potential energy to be Zero (Datum).

    This can be different in different respects for example :-
  • Due to difference in vertical height , the Gravitational Potential changes and so does the Gravitational potential energy and this Gravitational potential energy is given by the formula :

  • #PE_g=mgh# ; where #m# is the mass of the object ; #g# is the acceleration due to gravity and #h# is the height above the Datum line (which is the floor/ground normally).

http://www.slideshare.net/nlahoud/work-energy-and-power-30286871

  • The relation between the Force and Potential is :-
    #vecF=-vecgradU# where #F# is the Force and #U# is the potential.

  • In case of a charged parallel plate Capacitor we can see that due to accumulated opposite charges on the plates ; a Potential difference is generated ; #ie# it has ability to do some work and the amount of work it can do is known as the Potential Energy stored inside that capacitor.

http://www.electronics-tutorials.ws/capacitor/cap_4.html
The answer is getting quite long, so I can't write more examples ; I hope it helps :)