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JJBladester
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Limit Problem --- Electric field strength of an infinite line of charge
What is the limit of the following equation?
[tex]\stackrel{lim}{L\rightarrow\infty} \frac{K|Q|}{r\sqrt{r^{2}+(L/2)^{2}}}[/tex]
The book gives an answer of [tex]\frac{K|Q|}{rL/2}[/tex] but it doesn't explain the intermediate steps.
K is a constant, Q represents charge, L represents length, and r represents distance from a wire to a point in space. The whole exercise is to see what happens to the electric field strength of the wire if its length is allowed to grow infinitely.
Homework Statement
What is the limit of the following equation?
Homework Equations
[tex]\stackrel{lim}{L\rightarrow\infty} \frac{K|Q|}{r\sqrt{r^{2}+(L/2)^{2}}}[/tex]
The Attempt at a Solution
The book gives an answer of [tex]\frac{K|Q|}{rL/2}[/tex] but it doesn't explain the intermediate steps.
K is a constant, Q represents charge, L represents length, and r represents distance from a wire to a point in space. The whole exercise is to see what happens to the electric field strength of the wire if its length is allowed to grow infinitely.