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## Homework Statement

An electron is placed in an

*xy*plane where the electric potential depends on

*x*and

*y*as shown in the figure (the potential does not depend on

*z*). The scale of the vertical axes is set by

*Vs*= 500 V. In unit-vector notation, what is the electric force on the electron?

https://www.facebook.com/photo.php?fbid=1403786173283706&set=a.1403786203283703.1073741827.100009570105613&type=1

## Homework Equations

## The Attempt at a Solution

I tried evaluating the graph and seeing as it is a straight line for both the x and y components of the E field i was thinking i could get a partial derivative

∂V/∂x=-(-500v/0.4m)=1250N/C

∂V/∂y=-(100V/.4m)=-250N/C

I think this is where i went wrong.

anyhow, I went on to find the magnitude and direction of the E field

|E|=√(1250^2+250^2)=1274.75N/C

θ=tan^-1(-250/1250)=-11.31°

the next step given the force on an electron as F=qE

finding this for the separate components in vector notation give q=1.6*10^-19C

so F=(1.6*10^-19C)*[(1250N/Ci), (-250N/Cj)]

it is not the right answer so my understanding is failing at a point

thankyou