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Two positive charges q1 and q2 are located at the points with radius vectors r1 and r2. Find a negative charge q3 and a position vector r3 of the point at which it has to be placed for the force acting ob each of the three charges to be equal to zero.

Two positive charges q1 and q2 are located at the points with radius vectors r1 and r2. Find a negative charge q3 and a position vector r3 of the point at which it has to be placed for the force acting ob each of the three charges to be equal to zero.

Grade:12

1 Answers

Arun
25763 Points
2 years ago
must be 
F1=F12+F13=0 
F2=F12+F23=0 
F3=F13+F23=0 
then 
q2/(R2-R1)^2=q3/(R3-R1)^2 
q1/(R2-R3)^2=q3/(R3-R1)^2 
q1/(R3-R1)^2=-q2/(R3-R2)^2=q2/(R2-R3)^2 
being q1=q2=q 
on find 
(R3-R1)^2=(R2-R3)^2 
from which 
R3=(R1^2-R2^2)/(2R1-2R2) 
and 
q3=q(R3-R1)^2/(R2-R1)^2

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