How much work is done by the uniform electric field E=Eo j on a charge q, feeling a force F=qE, if it moves along a semi-circle of radius R centered at the origin in the xy plane from (x, y) = (0, R) to (0, -R)?

Question

anonymous · Answer

It is supposed to be used a line integral. any idea?

anonymous · Answer

As far as I know
$$W=-\int\limits_{A}^{B}F dl = -q \int\limits_{A}^{B}E dl$$
E(vector) has only a component in the y-direction (j), and I think I struggle in defining the path. Should I turn it into polar coordinates?