Electric Potential, Electric Potential Energy, Electric Field

AI Thread Summary
The discussion revolves around calculating the position of a +6.2-µC charge along the x-axis based on its electric potential energy at specified values. Users are tasked with finding the locations where the charge's electric potential energy equals 0.000124 J and 0.000217 J, using the provided graph of electric potential. The equations for electric field and work are referenced, but the initial attempts at solving the problem have led to incorrect results. Participants seek guidance on the correct approach to determine the positions accurately. The conversation highlights the importance of correctly interpreting the graph and applying the relevant physics equations.
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Homework Statement


As a +6.2-µC charge moves along the x-axis from x = 0 to x = 1.4 m, the electric potential it experiences is shown in the figure, below. (The horizontal axis is marked in increments of 0.1 m and the vertical axis is marked in increments of 5 V.) Find the approximate location(s) of the charge when its electric potential energy U equals the the following values. (If there are more than one answer, enter your answers from smallest to largest. If there is only one answer, enter your answer in the first answer box and enter "none" in the following boxes.)


Here is the graph: http://www.webassign.net/walker/20-22alt…

(a) U = 0.000124 J
x1 = m
x2 = m
x3 = m

(b) U = 0.000217 J
x1 = m
x2 = m
x3 = m


Homework Equations





The Attempt at a Solution



E=-\DeltaV/\Deltax and F=Eq and W=Eqd and W= -\DeltaU. So for the a). X1 i found the slope for region one which I found to be 50, then I used the Force equation and got 3.81e8 N then plugging those values into my work equation, solving for d I got 4e-13. But this is wrong any help in the right direction would be nice.. Thanks in advance.
 
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Here is the picture...
20-22alt.gif
 
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