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3. The electric field in a region is given by
Eox i
E
where E, and x, are constants.
(a) Find the potential as a function of position, taking the zero of potential at
x = 0.
(b) Find an expression for the work that would need to be done on a proton to
move it in a circular arc from the point (x, 0) to the point (–3x,, 2x).

Expert Solution

Step 1

Given data,

$\vec{E} = \frac{E_{o} x}{x_{o}} \hat{i}$

Also, V(x=0) = 0

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