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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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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 = +e
2a. [Hint: The work W equals the difference between (i) the potential
2a and (ii) the potential energy when it is
%3D
from 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 = -e
92 = +e
93 =
= te
%3D
X =0
X= a
X= 20
Fig. 7. A sketch of the situation after the third charge has been
brought 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 line
between points a and b in a linear accelerator. The electric field is uniform along this line,
with magnitude E
1.5 x 107-
= 1.5 x 107 in the direction from a to b. Determine:
%3D
m
(a.) the force on the proton;
Solution:
(b.) the work done on it by the field;
Solution:

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