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Winzer
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Homework Statement
Carefully study the following plot of electric field E in N/C versus distance r in m and answer the questions that follow. The electric field is directed radially outward, and the variation of E with r is independent of direction.
Refering to the figure, determine the work done by the electric field on a 7.75 C charge moved from A to B.
Homework Equations
[tex] W=q \int\vec{E}\dot\vec{dr}[/tex]
The Attempt at a Solution
First I found the charge caused by the electric field( I used E=25 and r=2 since they intersect:
[tex] q=\frac{E r^2}{\epsilon_{o}}\longrightarrow q= q=\frac{25* 2^2}{\epsilon_{o}}= 1.11E^-8
C[/tex]
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I am finding Work done from a to b:
[tex] W= q\int\vec{E}\dot\vec{dr}[/tex] I am pretty sure I am integrating with respect to r.
[tex] W= q\int\frac{kq_{1}}{r^2}dr[/tex] a=10 b=4
So what do you think?