Aconstant electric field of magnitude e = 148 v/m points in the positive x-direction. how much work (in j) does it take to move the charge q =-13 μc from x1 = -81 m, y1 = -131 m, to x2 = 107 m, y2 = 76 m? ( note: the charge is given in micro-coulomb. the symbol in front of the c should be a greek letter mu.)

Explanation:

Given:

electric field,

charge,

initial position coordinates,

final position coordinates,  

We find the distance through which the charge has been moved:

Where we have (x1,y1) & (x2,y2) as the initial and final coordinates of the points.

Now we need the angle through which displacement is made with respect to the direction of electric field.

Now from the relation between the change in potential difference:

∵The change in voltage is defined as the work done per unit charge.

∴

Putting the respective values