three point charges have equal magnitudes and are located on the same lne. the s
ID: 2045456 • Letter: T
Question
three point charges have equal magnitudes and are located on the same lne. the separation d between A and B is the same as teh separation between B and C. One of the charges is positive and two are negative, as teh drawing shows. consider the net electrostatic force that each charge experiences due to the other two charges. Rank the net forces in descending order (greatest first) according to magnitude.
A B C
(+) --------- (-) --------- (-)
d d
A. A, B, C
B. B, C, A
C. A, C, B
D. C, A, B
E. B, A, C
Explanation / Answer
Let charge at each point is q The force on A due to B is FAB = kq*q/d^2 (This force acting towards right as seen from above) The force on A due to C is FAC = kq*q/ (d+d)^2 (This force acting towards right as seen from above) Then the net force on A due to B and C is FA = kq*q/d^2 + kq*q/ (d+d)^2 ------------------------------------------------------------------------ The force on B due to A is FBA = kq*q/d^2 (This force acting towards left as seen from above) The force on B due to C is FBC = kq*q/ (d)^2 (This force acting towards left as seen from above) Then the net force on C due to B and A is FB = kq*q/d^2 + kq*q/ (d)^2 ------------------------------------------------------------------------ The force on C due to A is FAC = kq*q/(d+d)^2 (This force acting towards left as seen from above) The force on C due to B is FCB = kq*q/ (d)^2 (This force acting towards Right as seen from above) Then the net force on A due to B and C is FC = kq*q/(d+d)^2 - kq*q/ (d)^2 ----------------------------------------------------------- From the above equations it is clear that FB > FA > FC So the order is B ,A, C correct option is (e)
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