Suppose that in Figure P22.8, (left|q_{2} ight|>left|q_{1} ight|>0) but these particles may carry charges of the same

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Suppose that in Figure P22.8, \(\left|q_{2}\right|>\left|q_{1}\right|>0\) but these particles may carry charges of the same or opposite type. A third particle carrying charge \(q_{3}\) is to be placed in this system along the axis such that the vector sum of electric forces on the third particle is zero. In which region-I, II, or III-might this be possible if 

(a) q1 and q2 have the same sign and 

(b) q1 and q2 have opposite signs?

(c) Under what circumstances can the third particle be placed in region I and have the vector sum of electric forces exerted on it be zero?

Data from Figure P22.8

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