-E = dv / dr
-Ex =
Vx /
x since the field is uniformly decreasing the potential at the origin would be 100V.
.: Ex = the electric field at x=+1 in the x dir.
=
Vx /
x {change in potential divided by change in x co-ordinate} =-20 / 1 = -20V/cm(i)
Now Ey =
Vy /
y = -20 /
y
now while using
we only take the change i.e the positive change.
.: Enet = root (400 + something>=0) = Always greater than or equal to 20V/cm
It would be equal to 20V/m when there is zero displacement along the y direction.