1. Two point charges are located on the x-axis, q1 = -e at x = 0 and q2= te at X a.(a.) Find the work that must be done by an external force to bring point charge q3 = +e2a. [Hint: The work W equals the difference between (i) the potential2a and (ii) the potential energy when it is%3Dfrom infinity to x =energy U associated with q3 when it is at x = infinitely far away. The second of these is zero, so the work required is equal to U.](b.) Find the total potential energy of the system of three charges.91 = -e92 = +e93 == te%3DX =0X= aX= 20Fig. 7. A sketch of the situation after the third charge has beenbrought in from infinity.Solution:2. A proton (charge +e = 1.602 x 10-19 C) moves a distance d = 0.50 m in a straight linebetween points a and b in a linear accelerator. The electric field is uniform along this line,with magnitude E1.5 x 107-= 1.5 x 107 in the direction from a to b. Determine:%3Dm(a.) the force on the proton;Solution:(b.) the work done on it by the field;Solution:

Potential energy at a point is given as U=kq1q2r…

1. Two point charges are located on the x-axis, q, = -e at x = 0 and q2 = +e at x = a. (a.) Find the work that must be done by an external force to bring point charge q3 = +e from infinity to x = 2a. [Hint: The work W equals the difference between (i) the potential energy U associated with q3 when it is at x = 2a and (ii) the potential energy when it is

1. Two point charges are located on the x-axis, q, = -e at x = 0 and q2 = +e at x = a. (a.) Find the work that must be done by an external force to bring point charge q3 = +e from infinity to x = 2a. [Hint: The work W equals the difference between (i) the potential energy U associated with q3 when it is at x = 2a and (ii) the potential energy when it is

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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G.. Three point charges of -2.00 µC, +4.00 µC, and +6.00 µC are placed along the x-axis as shown in the figure. What is the electrical potential at point P (relative to infinity) due to these charges? (k = 1/4nEO = 8.99 x 10° N. m2/c2) XP 0.200 m -2.00 µC +6.00 µC 0.200 m 0.200 m +4.00 µC None of the given choices. O -154 kV O -307 kV O O kV O +154 kV O +307 kV
15) A pair of point charges with equal and opposite magnitude, q, = 1 nC, and %3D 1 nC, are located along the x-axis with the positions q,(x, y) = (0, 0) and q2 q:(x, y) = (2 m, 0 m). Calculate the magnitude of the electric potential (in Volts) at the point P, with coordinates, P(x, y) = (1 m, 1m).
Points A, B, and C are at the corners of an equilateral triangle of side 5.00 m. Equal positive charges of 8.00 µC are at A and B. (a) What is the potential at point C? kV (b) How much work is required to bring a positive charge of 5.00 µC from infinity to point C if the other charges are held fixed? (c) How much additional work is required to move the +5.00 µC point particle from point C to the midpoint of side AB?
Two point charges (nC and -15.50 nC) are located 8.00 cm apartLet U = 0 when all of the charges are separated by infinite distances. What is the potential energy if a third point charge q = - 4.2nC is placed at point b?
9. Three point-like charges are placed at the following points on the x-y system coordinates (q1 is fixed at x = -3.00 cm, q2 is fixed at y = +1.00 cm, and q3 is fixed at x = +1.00 cm. Find the electric potential energy of the charge q1. Let q1 = -3.20 µC, q2 = +3.10 µC, and q3 = +3.70 µC. y(cm) +3 +2 +1 -1 -1 +2 +3 -2 oof19 oof19 Cof19 oof19 0of19
(a) Two point charges with q₁ = +3.5 × 10−7 C and 92 = initially separated by a distance of r = 2.5 × 10-4 m m. (i) How much energy is required to double their separation? (ii) What is the electric potential at the point midway between the two charges when their separation is 2r? -4.5 × 10-7 Ca are
15
A charged particle is moved between two points (we'll call them point A and point B). If the charge on the particle is 18.3 mC and it takes 71.9 J of work to move the particle between A and B, what is the magnitude of the potential difference between points A and B? (1.00 nC = 1.00 x 10-³ C)
For the next two items, consider four point charges placed at the corners of a square with side a as shown. 20 3Q 13. TreeQ. What is the electric potential energy at the charge 3Q due to all the other charges? 12KQ² А. a a kQ? В. (-6 – 3/2) -20 -4Q a kQ² (-2 – 7/2) С. a kQ² D. (-4 – 14/2) a 14. In the box. Assuming all charges start from infinity, how much potential energy is needed to assemble this configuration of charges? 12KQ² kQ² С. -(-2 – 7/2) А. a kQ² В. -(-6 – 3/2) kQ² D. -(-4 – 14/2) a a
Multiple Choice.
Two point charges are located on the y-axis. One is at y = 1.00 m, the other is at y = -1.00 m, and they both have a charge of q = +2.10 uc. (a) Determine the electric potential (in kV) on the x-axis at x = 0.530 m. kV (b) Calculate the change in electric potential energy of the system (in J) as a third point charge of -2.80 „C is brought from infinitely far away to a position on the x-axis at x = 0.530 m. Need Help? Read It
1) A point particle of charge 2.5 nC and mass 3.25x10-3 kg is in a uniform electric field directed to the right. It is released from rest and moves to the right. After it has traveled 12.0 cm, its speed is 25 m/s. Find the (a) work done on the particle, (b) change in the electric potential energy of the particle, and (c) magnitude of the electric field.