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Homework Statement
Determine the magnitude and direction of the electric field at point 1 in the figure.
Homework Equations
[tex]E=\frac{QK}{r^2}[/tex]
[tex]V=-\frac{QK}{r}[/tex]
The Attempt at a Solution
[tex]\int E dr=-V[/tex]
When I take the derivative of both sides of this relation wrt to R, I get
[tex]E=\frac{-dv}{dr}[/tex]
So, now I just plug in two points, using point 1 as my final (energy flows from high potential to low potential:
[tex]E=-\frac{100-50}{0.01}=-5000 E/m[/tex], so it is pointing down. However, the answer appears to be 3750, pointing down.
Can someone explain what I did wrong? Please use calculus terminology if possible!
Thank you!