An electric field $\vec{E}=25 \hat{\imath}+30 \hat{\jmath} \mathrm{~N} / \mathrm{C}$ exists in a reg

Question

An electric field $\vec{E}=25 \hat{\imath}+30 \hat{\jmath} \mathrm{~N} / \mathrm{C}$ exists in a region of space. If the potential at the origin is taken to be zero, then the potential at $x=2 \mathrm{~m}, y=2 \mathrm{~m}$ is

Professor PC Thomas Classes · Answer

$V = -\int \vec{E} \cdot d\vec{r} = -(E_x x + E_y y) = -(25(2) + 30(2)) = -110 	ext{ V}$.