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Homework Statement
Determine the magnitude and direction of the electric field at point 1 in the figure.
Homework Equations
E=\frac{QK}{r^2}
V=-\frac{QK}{r}
The Attempt at a Solution
\int E dr=-V
When I take the derivative of both sides of this relation wrt to R, I get
E=\frac{-dv}{dr}
So, now I just plug in two points, using point 1 as my final (energy flows from high potential to low potential:
E=-\frac{100-50}{0.01}=-5000 E/m, 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!