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 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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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd75a0cba-20f2-443d-a1e9-f3f1ac2380ac%2F045b67aa-40e4-4a15-9748-0d389418ac8f%2Fw4z8y1d_processed.png&w=3840&q=75)
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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