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?

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Chapter7: Work, Energy, And Energy Resources
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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
Transcribed Image Text: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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