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Two charge particles, +2q and -3q are on an axis at x = -10 and x...

Two charge particles, +2q and -3q are on an axis at x = -10 and x = 30 respectively. At one point, a third charged particle can be placed such that the net force acting on it would be zero.

a) Calculate the location where the third charge should be placed to create this situation?

b) Should the third charge be positive or negatively charged? Explain your reasoning.

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