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Question

Two free point charges +q and +4q are at the co-ordinates (0,0) and (a, 0). A third charge is placed on the line joining them so that the entire system is in equilibrium. The value and position of the third charge is


A
4q9 at (a3,0)
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B
2q3 at (a3,0)
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C
2q3 at (a2,0)
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D
4q9 at (2a3,0)
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Solution

The correct option is A 4q9 at (a3,0)
x=dq2q1+1=a4qq+1=a3 (y=0)
F12+F13=0
14πϵ0qQ(a29)=14πϵ0q×4qa2
Q=4q9

Physics

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