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Deduce the expression for the electric filed oversetto E due to a system of two charges q_1 and q_2 with position vectorsoversetto (r_1) and oversetto (r_2)at a point P having position vectoroversetto ® . |
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Answer» Solution :Let as shown TWO point charges ` q_1 and q_2` be situated at points A and B respectively with POSITIONS vectors `oversetto (r_1)and oversetto (r_2) `. Let P be a point having position vector ` oversetto ® `. Electric field at P DUE to charge `q_1` ` oversetto (E_1) =(1)/(4 pi in _0).(q_1)/(|oversetto r -oversetto (r_1) |^(3) ) .(oversetto r-oversetto (r_1)) ` and field at P due to charge `q_2 ,oversetto (E_2) =(1)/(4 pi in _0).(q_2)/(|oversetto r -oversetto (r_2) |) (oversetto r- oversetto (r_1)) ` ` therefore ` Total electric field atpoint P is ` oversetto (E) =oversetto (E_1) +oversetto (E_2) =(1)/(4 pi in _0) [(q_1)/(|oversetto r-oversetto (r_1)|^(3) ).(oversetto r-oversetto(r_1)) +(q_2)/(|oversettor-oversetto(r_2)|) ]` 
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