(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

[tex] W=q \int\vec{E}\dot\vec{dr}[/tex]

3. 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?

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# Homework Help: Radial Electric Field

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