Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of Iqıl = 18e. Particle 3 of charge q3 = +18e is initially on the x axis near particle 2.Then particle 3 is gradually moved in the positive direction of the x axis. As a result, the magnitude of the net electrostatic force on particle 2 due to particles 1 and 3 changes. Figure (b) gives the x component of that net force as a function of the position x of particle 3. The scale of the x axis is set by x; = 2.40 m. The plot has an asymptote of F2net = 0.9519 × 10-25 N as x → 0, As a multiple of e and including the sign, what is the charge q2 of particle 2? 3. -x (m) (a) (b)

Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x = +0.648a and (b) x = +1.44a?

In the figure four particles are fixed along an x axis, separated by distances d = 2.40 cm. The charges are q₁ = +2e, q2 = -e, q3 = +e, and 94 = +4e, 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? d d d X 1 2 3 4

In the figure what are the (a) magnitude and (b) direction (from x-axis in the counterclockwise direction) of the net electrostatic force on particle 4 due to the other three particles? All four particles are fixed in the xy plane, and q₁ = -25.60 × 10-1⁹ C, q2 = +25.60 × 10-1⁹ C, 93 +51.20 × 10-1⁹ C, 94 = +25.60 × 10-1⁹ C, 0₁ = 40°, d₁ = 3.50 cm, and d₂ = d3 = 5.20 cm. (a) Number i (b) Number Mi Units Units d₂ 14 dz 3 ·x

Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of |q1| = 17e. Particle 3 of charge q3 = +17e is initially on the x axis near particle 2. Then particle 3 is gradually moved in the positive direction of the x axis. As a result, the magnitude of the net electrostatic force on particle 2 due to particles 1 and 3 changes. Figure (b) gives the x component of that net force as a function of the position x of particle 3. The scale of the x axis is set by x, = 1.40 m. The plot has an asymptote of F2,net = 3.363 x 1025 N as x→∞. As a multiple of e and including the sign, what is the charge 92 of particle 2? Number i (a) Units 3 $6 (b) F₂, net (N) (m)

In the figure particles 1 and 2 are fixed in place on an x axis, at a separation of L=8.10 cm. Their charges are q₁=+e and q2 = -27e. Particle 3 with charge 93 +6e is to be placed on the line between particles 1 and 2, so that they produce a net electrostatic force on it. (a) At what coordinate should particle 3 be placed to minimize the magnitude of that force? (b) What is that minimum 3.net magnitude? F (a) Number 2.02 (b) Number 16.90E-25 Units cm Units N

In the figure four particles form a square with edge length a = 2.42 × 102 m. The charges are q₁ = 94 = 1.69 × 10-15 C and 92 = 93 = 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? The tolerance is ± 1 in the 3rd significant digit. a) Number b) No. a 3 X 4 a ! Units C

Three particles are fixed on an x axis. Particle 1 of charge q₁ is at x= -a and particle 2 of charge q2 is at x=+a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio 91/92 when particle 3 is at (a) x = +0.418a and (b) x = +2.23a? (a) Number i (b) Number Units Units

Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of |q1| = 21e. Particle 3 of charge q3 = +21e is initially on the x axis near particle 2.Then particle 3 is gradually moved in the positive direction of the x axis. As a result, the magnitude of the net electrostatic force on particle 2 due to particles 1 and 3 changes. Figure (b) gives the x component of that net force as a function of the position x of particle 3. The scale of the x axis is set by xs = 1.00 m. The plot has an asymptote of F2,net = 3.101 × 10-25 N as x → ∞. As a multiple of e and including the sign, what is the charge q2 of particle 2?