Two point charges (q_{1}=+mathrm{Q}) and (q_{2}=-3 mathrm{Q}) are placed along the (x)-axis, (10 mathrm{~cm}) apart (left(q_{1} ight.) at the origin, (q_{2}) at (x=+10 mathrm{~cm})). (a)

Two point charges \(q_{1}=+\mathrm{Q}\) and \(q_{2}=-3 \mathrm{Q}\) are placed along the \(x\)-axis, \(10 \mathrm{~cm}\) apart \(\left(q_{1}\right.\) at the origin, \(q_{2}\) at \(x=+10 \mathrm{~cm})\).

(a) What is the electric potential at the center of the line connecting the two point charges? 

(b) Could there be a point along the \(x\)-axis at which the potential is zero? If yes, at what location? If no, why not? \(\cdot\)