Posted by **Hazel** on Thursday, May 9, 2013 at 4:00pm.

Sphere A, with a charge of +64 C, is positioned at the origin. A second sphere, B, with a charge of -16 C, is placed at +1.00 on the x-axis. Where must a third sphere, C, of charge +12 C, be placed so that there is no net force on it?

- Physics -
**Elena**, Thursday, May 9, 2013 at 5:49pm
F=0 if E = 0

The point is located to the right from the second charge at the distance ‘x’ =>

kq₁/(X+x)² =kq₂/x²

X=1

64/(1+x)² = 16/ x²,

3x²-2x-1 =0 ,

x={2±sqrt(4+12)}/6.

x₁=1, x₂=-1/3 (※)

Ans: Coordinate of the point is X+x =1+1 =2

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