(Solved): In the figure four particles form a square with edge length \( a=4.82 \times 10^{-2} \mathrm{~m} \ ...

In the figure four particles form a square with edge length \( a=4.82 \times 10^{-2} \mathrm{~m} \). The charges are \( q_{1}=q_{4}=2.55 \times 10^{-15} \mathrm{C} \) and \( q_{2}=q_{3}=q \). (a) What is \( q \) if the net electrostatic force on particle 1 is zero? (b) Is there any value of \( q \) that makes the net electrostatic force on each of the four particles zero?