In the figure particle 1 of charge +q and particle 2 of charge +9q are held at separation L = 10.1 cm on an x axis. If particle 3 of charge q3is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3and (c) the ratio q3/q?X(a) Number i1.35Unitscm(b) Number 0Unitscm(c) Number i1.00UnitsNo units

Answered: In the figure particle 1 of charge +q…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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(a) Figure (a) shows a nonconducting rod of length L = 5.80 cm and uniform linear charge density λ = +4.87 pC/m. Take V = 0 at infinity. What is Vat point P at distance d= 7.50 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 4.87 pC/m. With V=0 at infinity, what is Vat P? L/2 (a) -L/2 L/21/2- (b)
Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin. Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod? Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod. Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P. Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…
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 q1/92 when particle 3 is at (a) x = +0.207a and (b) x = +1.38a? (a) Number i Units (b) Number Units
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 q₁/92 when particle 3 is at x = 1.50a? Important: Assume that the charge of particle 1 is positive.
In the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y2 = -8.06 cm and y4 = 4.03 cm. Particles 1 and 3, of charge - e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.06 cm and particle 3 is at x3 = 8.06 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force net on particle 5 by 30* (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original counterclockwise? direction? (a) Number i (b) Number i Units Units m m 3
Problem 14: A 3-D printer lays down a semicircular arc of positively charged plastic with a radius R = 3.5 cm, and a linear charge density of λ = +1.8 μC/m. After the printer has finished the arc, the stylus moves to the center of the arc as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle dθ. Note the measurement of the angle θ shown in the figure. Part (a) Input a symbolic expression for the charge dq on the segment of charge of size dθ in terms of given parameters. Part (b) Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc dθ on an electron (charge -e), within the stylus at the center of the arc. Express your answer in terms of given parameters, fundamental constants, and the unit vectors i and j in the specified coordinate system. Part (c) Find the indefinite integral of the x-component Fx from part (b), but do not evaluate the limits. Part (d) Select the limits…
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Needs Complete typed solution with 100 % accuracy. Handwritten solution is completely prohibited.
In the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y2 = -8.76 cm and y4 = 4.38 cm. Particles 1 and 3, of charge - e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.76 cm and particle 3 is at x=8.76 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force F net on particle 5 by 30* counterclockwise? (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original direction? (a) Number (b) Number Units Units 00

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