) 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 ach of the four particles zero?

In the figure four particles are fixed along an x axis, separated by distances d = 3.80 cm. The charges are q₁ = +4e, q2 = -e, 93 = +e, and 94 = +12e, with e = 1.60 × 10-19 C. What is the value of the net electrostatic force on (a) particle 1 and (b) particle 2 due to the other particles? (a) Number i (b) Number i Units 1 Units d 2 d 3 d 4

In the figure, if Q = 15 µC, q = 2.4 µC, and d = 29 cm, what is the magnitude of the electrostatic force on q?

Charged plate d R Ar FIGURE 21 59. According to Coulomb's Law, the attractive force between two electric charges of magnitude q1 and q2 separated by a distancer is kq192/r2 (k is a constant). Let F be the net force on a charged particle P of charge Q coulombs located d centimeters above the center of a circular disk of radius R, with a uniform charge distribution of density p coulombs per square meter (Figure 21). By symmetry, F acts in the vertical direction. (a) Let R be a small polar rectangle of size Ar x AÐ located at distance r. Show that R exerts a force on P whose vertical component is kpQd r Δr Δθ (r2 + d²)3/2 (b) Explain why F is equal to the following double integral, and evaluate: c27 r dr de F = kpQd (r2 + d²)3/2