Positive charge Q is distributed uniformly alongthe x-axis from x = 0 to x = a. A positive point charge q is locatedat x = a + r (see figure on the right).(a) Find the electric field due to the charge Q at the location of(at x = a + r).(b) Find the electric force that Q exerts on q. Show that for theI Qqandlimiting case r >> a, the force reduces to F%!a.4Tɛ, r²explain why you achieve this result.

Given: Positive charge Q Distributed uniformly along the x-axis from x = 0 to x = a. A positive…

Answered: Positive charge Q is distributed…

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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The figure below shows a small, charged bead, with a charge of q = +41.0 nC, that moves a distance of d = 0.174 m from point A to point B in the presence of a uniform electric field E of magnitude 255 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection (b) What is the work (in J) done on the bead by the electric force as it moves from A to B? J (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) PEB − PEA = J (d) What is the potential difference (in V) between A and B? VB − VA = V
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Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point Pat distance 2.90R from the disk (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/2.90 (see Figure (b)). Assume that the ring will have the same surface charge density as the original disk. If you switch to the ring, by what part will you decrease the electric field magnitude at P? (a) (b) Number i Units
Two charges are located in the x-y plane. If q1 -3.50 nC and is located at (x = 0.00 m, y = 0.960 m), and the second charge has magnitude of q2 = 4.80 nC and is located at (x = 1.40 m, y 0.650 m), calculate the x and y components, Ex and Ey, of the electric field, É, in component form at the origin, (0, 0). The Coulomb force constant is 1/ (4reo) = 8.99 x 10° N · m²/C². -13.58 -40.45 Ex N/C Ey N/C Incorrect Incorrect II
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A charge +q is located at the origin. A charge - 2q is at 3.15 m on the x axis. (a) For what finite value of x is the electric field zero? 7 Xm To the right of both charges, which charge is always closest? Does it have the smaller or larger charge? At what locations are there two field contributions that can cancel to produce zero net field? (b) For what finite value(s) of x is the electric potential zero? x m Because the charge of -2q is closer than the charge of +q for this value of x, the 2q dominates and the total field cannot be zero. m smaller value larger value
È= [dE = [k9 .. Start with... f... dx
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A negative line of charge is on the negative y axis with its top end at the origin as shown in the figure below. The charge is uniformly distributed along the line. Point P is on the positive y axiS as shown in the figure. y The the length of the line of charge is 3.17 m, the total charge on the line is -787.9 nC and point P is 3.15 m from the origin. Find the magnitude of the electric field at point P due to the line of charge. (in N/C) OA: 3.15×10²| OB: 3.56×102| 0C: 4.02×102| OD: 4.54×102| OE: 5.13×102|| OF: 5.80×102|| OG: 6.56×102|| OH: 7.41×102 Submit Answer Tries 0/99
Consider a charge configuration comprising two point sources, one carrying a positive charge and the other a negative charge. The magnitude of the negative charge is three times as large as the positive charge. Construct a careful sketch of the electric field around the configuration.

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