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Obtain the expression of electric field at any point by continuous distribution of charge on a surface. |
Answer» Solution :Suppose, surface `DeltaS`is divided into small elements and `vecr` is the position vector on anyone element.  `sigma`is the surface charge DENSITY HENCE, charge on `DeltaS` surface element `DeltaQ = sigma.DeltaS, therefore sigma = (DeltaQ)/(DeltaS)` Suppose a POINT P (inside or outside) the surface whose position vector is `vecR`and distance from `DeltaS` is r. and unit vector is r.. Electric field at P due to charge on a `sigma DeltaS`, `DeltavecE = (ksigmaDeltaS)/(r.)^(2).hatr` Total electric field at P by superposition principle, `vecE = sum_(s) (ksigma.DeltaS)/(r.)^(2).hatr` By integration method, `vecE = int_(S)(ksigma.DeltaS)/(r.)^(2).hatr` |
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