Difference between electric potential and potemtial difference
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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\xa0infinity\xa0to 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\xa0one point to another point\xa0against the electric force.In other words, Potential difference is simply the difference of scalar potentials between two points or anything you consider…Now let\’s take an example.Say, you\’re\xa0placing\xa0a charge (+q) at the point O. Also, There are two points A & B in the electric field\xa0E(It acts outward since the line charge is positive). Now, you want to move a charge (say +q) from B to A. Then, you\’ve to do some work against the force of repulsion. This work done is the potential difference between two points or Voltage (i.e.)\xa0WB?A=dV\xa0which further equals\xa0?E.dx. Electric field is simply the force experienced by unit positive charge.If you bring the same charge from\xa0?\xa0instead of B, it\’s electric potential. Using the above figure & integrating for total work done (with limits\xa0?\xa0to some scalar distance\xa0r), one could derive Electric potential at a point. It\’s given by\xa0V=q4??r. But, you could ask,\xa0″Why this work is not stored as some potential energy?”Yes, It is. But, Potential energy requires the magnitude of another charge also… If\xa0r\xa0is the distance of separation of two charges, P.E. is given by\xa0Ep=qQ4??r. In other words,\xa0Ep=VQ