Two particles, Particles A and B, are separated by a distance of R = 10 cm, where the magnitude of the charges QA= -20e and QB = +2e. Between the two charges is placed a third charge Qc of -4e, resulting in a net charge of Fc,net. If particles A and B remain in position, at what x-coordinate must particle C be placed to produce an electrostatic force FC,net of minimum magnitude?

11. The figure a shows particle A (with charge q) and particle B (with charge q₁) are fixed in place on an x-axis, 8.00 cm apart. Particle C with a charge q = +5e is to be placed on the line between particles A and B, so that they produce a net electrostatic force F on it. Figure b gives the x-component of that force vs. the coordinate x at which particle C is placed. What are the sign of and the ratio of q/? netC 9A (a) 9B X Fnet Cx - 0 -1 2 4 6 (b) +x (cm) 8

1. Figure below shows an arrangement of four charged particles with 0 = 30.0°and the distance d= 2.00 cm. Particle 2 has charge q2 =+ 8.00x10 -19C; particle 3 and 4 have charges q3=q4=- 1.60 x 10 -19 C. y (a) What is distance D between the origin and particle 2 if the net electrostatic force on particle 1 due to the other particles is zero? (b) If particles 3 and 4 were moved closer to the x axis but maintained their symmetry about that axis, would the required value of D be greater than, less than, or same as part (a)? d D 2 1 4

In the figure four particles are fixed along an x axis, separated by distances d = 4.00 cm. The charges are q1 = +4e, q2 = -e, q3 = +e, and 94 = +12e, with e = 1.60 × 10-19 C. VWhat is the value of the net electrostatic force on (a) particle 1 and (b) particle 2 due to the other %3D particles? d d d 1 3 4 (a) Number Units (b) Number i Units

In the figure, the particles have charges 91-92-590 nC and 93-94 93 nC, and distance a = 4.7 cm. What are the (a) x and (b) y components of the net electrostatic force on particle 3? 0 a (a) Number .093957 (b) Number -164835 Units N Units N