In the figure four particles form a square with edge length a = 1.78 × 10-2 m. The charges are q1 = q4 = 3.23 x 10-15 C and q2 = q3 = 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? %3D a 12 3 4
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- 10. The figure shows charged particles A and B that are fixed in place on an x-axis. Particle A has an amount of charge of |q₁| = 8.00e. Particle C, with a charge of q=+8.00e, is initially on the x-axis near particle B. Then particle C is gradually moved in the positive direction of the x-axis. As a result, the magnitude net' of the net electrostatic force, F on particle B due to particles A and C changes. The figure gives the x-component of that net force as a function of the x position of particle C. The plot has an asymptote of F 1.5x10-25 N as x → ∞. As a multiple of e, what is the charge q of particle B? (Answer: +13e) netB A B C (N cz-01) 190 2 1 0.2 0.4 0.6 x 0.8In the figure four particles are fixed along an x axis, separated by distances d = 5.00 cm. The charges are q1 = +4e, 92 = -e, q3 = +e, and q4 = +12e, with e = 1.60 x 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 1 3 4 (a) Number i Units (b) Number i UnitsTwo small spheres, each with mass m = 12.0 g and charge q, are suspended from a point by threads %3D of length L = 0.30 m. What is the charge on each sphere if the string makes an angle of 15 degrees with the vertical when it's in electrostatic equilibrium? 145 nC 895 nC 99.5 nC 400 nC degrees
- In the figure, the particles have charges q1 = -q2 = 550 nC and q3 = -q4 = 97 nC, and distance a = 6.2 cm. What are the (a) x and (b) y components of the net electrostatic force on particle 3?Consider the three point charges in the x-y plane as shown in the figure. y (cm) 90 80 70 60 50 40 30 20 10 0 Q1 Q2 0 10 20 30 40 50 60 70 80 90 x (cm) What is the total electrostatic energy of the system? The point charges have the following values: Q₁ = 5.01 nC, Q₂ = 6.47 nC, Q3 = -7.60 nC. Point charge Q3 is moved away to infinity by an external force. How much work did the external force perform in this process?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, the particles have charges q1 = -q2 = 550 nC and q3 = -q4 = 97 nC, and distance a = 6.2 cm. What are the (a) x and (b) y components of the net electrostatic force on particle 3?In the figure, the particles have charges q1 = -q2 = 410 nC and q3 = -q4 = 97 nC, and distance a = 4.9 cm. What are the (a) x and (b) y components of the net electrostatic force on particle 3?Three point charges, two positive and one negative, each having a magnitude of 35 micro-C are placed at the vertices of an equilateral triangle (57 cm on a side). What is the magnitude of the electrostatic force on the negative charge?
- In the figure particles 1 and 2 of charge g, = g, = +22.40 x 10-19 C are on a y axis at distance d = 18.1 cm from the origin. Particle 3 of charge g3 = +49.60 x 10-19 is moved gradually along the x axis from x = 0 to x = +6.56 m. At what values of x will the magnitude of the electrostatic force on the third particle from the other two particles be (a) minimum and (b) maximum? What are the (c) minimum and (d) maximum magnitudes? 1 3 (a) NumberTo Units cm (b) Number 0.00000000000000000000 Units cm (c) Number UnitsN (d) Number po00000000000000000235 Units N.In the figure four particles form a square with edge length a = 3.17 × 10-2 m. The charges are q1 = q4 = 1.22 × 10-15 C and q2 = q3 = 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?A long thin rod is bent into a perfect semicircle of radius 4.30 m. The linear change density of the rod is λ = 3.10 nC/m. How much charge is on a small piece of the rod that subtends an angle Δθ = 0.170 radians? 13.3 nC 0.527 nC 2.27 nC 4.24 nC