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Solve the question in photo showing each step clearly
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Asked by Vidushi412 | 11 Apr, 2019, 08:07: AM
answered-by-expert Expert Answer
we know, by coulombs law,  electrostatic force between charges is proportional to product of charges.
In the question, distance is kept constant as L for all charge configuration.
Hence we can consider the force between charges is some constant  multiple of  product of charges 
 
hence we have,    ( q1 + q2 )×q3 = 2          ...................(1)
                             ( q2 + q3 )×q1 = -4         ...................(2)
                             ( q3 + q1 )×q2 = -18      ...................(3)
 
eqn.(1) is rewritten as ,  q1 q3 + q2 q3 = 2   ........................(4)
eqn.(4) is rewritten as,   q1 q3 + q2 q1 = -4  ........................(5)
 
eqn(4) - eqn(5)  gives,    q2 q3 - q2 q1   =  6  .........................(6),
eqn.(3) is written as,      q2q3 + q2q1  = -18 .......................(7)
 
By solving eqn.(6) and (7),  we get   q2 q3 = -6  and  q2q1 = -12  .
 
By dividing these products of charges, we get  q1 / q3 = 2  .........................(8)
 
By substituting ( q2 q3 ) in eqn.(4), we get  q1 q3 = 8  .....................(9)
 
from eqn.(8) and eqn.(9) , we get q1 = 4  and q3 = 2 ,  if q2 q3 = -6 , then q2 = -3
 
hence q1 : q2 : q3 = 4 : -3 : 2
Answered by Thiyagarajan K | 11 Apr, 2019, 10:41: AM

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