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Find an expression for the potential at a point due to a point charge Q. |
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Answer» Solution :Consider a charge + Q situated at point O and let us want to determine electric potential due to it at a point P situated at a distance r. Then, by DEFINITION potential is equal to AMOUNT of work done in order to bring unit +ve charge, WITHOUT any ACCELERATION, from `oo` to point P. `:. V = W_(oo-p)= underset(oo)oversetrintvecE.vecdx= -undersetoooversetrintE dx = -undersetoooversetrintQ/(4pi epsi_0x^2)dx` `=(Q)/(4pi epsi_0)[1/x]_oo^r = Q/(4pi epsi_0)[1/r-1/oo] = Q/(4pi epsi_0r)` 
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