SOLUTION: Hi! I'm struggling with this homework question... I feel like there's not enough information. Could someone help me out? "A point charge +q is held fixed at the origin, and a se

Question 1165901: Hi! I'm struggling with this homework question... I feel like there's not enough information. Could someone help me out?
"A point charge +q is held fixed at the origin, and a second charge +9q is held fixed at x = 1.0 m. Where should a third charge q be placed so that the net force on it is zero?"
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The given charge q is at (0,0); the charge 9q is at (1,0).

Let the added charge q be at (b,0).

The distance from (0,0) to (b,0) is b; the distance from (1,0) to (b,0) is 1-b.

The force between any two charges is directly proportional to the sizes of both charges and inversely proportional to the square of the distance between them.

ANSWER: The additional charge q should be placed at (1/4,0) to make the net force on it zero.

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