Positive electric charge QQ is distributed uniformly along a thin rod of length 2a. The rod lies along the x-axis between x=−a and x=+a (Figure 1). Calculate how much work you must do to bring a positive point charge q from infinity to the point x=+L on the x-axis, where L>a. What does your result for the potential energy U(x=+L) become in the limit a→0? Positive electric charge is distributed uniformly along a thin rodof length 2a. The rod lies along the x-axis between x = -a andx = +a (Figure 1). Calculate how much work you must do tobring a positive point charge q from infinity to the point x = +Lon the x-axis, where L > a.Figurex=-aRod with charge Qx=0x = +a< 1 of 1Point charge qbrought from infinityx = +Lx>Part EUse your result from the previous part to find the work you must do to bring the point charge from infinity to x = +L.Express your answer in terms of some or all of the variables Q, q, a, L, electric constant €0, and T.► View Available Hint(s)W=SubmitEVALUATEqQIn8περαPart FL+aL-aPrevious AnswersCorrectWhat does your result for the potential energy U(x = +L) become in the limit a → 0?Express your answer in terms of some or all of the variables Q, q, a, L, electric constant €0, and T.► View Available Hint(s)Review

The electric potential at x=L (L>+a) along the length of rod is found by integrating the point…

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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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Positive electric charge QQ is distributed uniformly along a thin rod of length 2a. The rod lies along the x-axis between x=−a and x=+a (Figure 1). Calculate how much work you must do to bring a positive point charge q from infinity to the point x=+L on the x-axis, where L>a. What does your result for the potential energy U(x=+L) become in the limit a→0?

Positive electric charge is distributed uniformly along a thin rod
of length 2a. The rod lies along the x-axis between x = -a and
x = +a (Figure 1). Calculate how much work you must do to
bring a positive point charge q from infinity to the point x = +L
on the x-axis, where L > a.
Figure
x=-a
Rod with charge Q
x=0
x = +a
< 1 of 1
Point charge q
brought from infinity
x = +L
x
>
Part E
Use your result from the previous part to find the work you must do to bring the point charge from infinity to x = +L.
Express your answer in terms of some or all of the variables Q, q, a, L, electric constant €0, and T.
► View Available Hint(s)
W
=
Submit
EVALUATE
qQ
In
8περα
Part F
L+a
L-a
Previous Answers
Correct
What does your result for the potential energy U(x = +L) become in the limit a → 0?
Express your answer in terms of some or all of the variables Q, q, a, L, electric constant €0, and T.
► View Available Hint(s)
Review

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