Consider the fields at a point
\(\vec{r}\) due to a point charge located at \(\vec{r}'\).

Write down an expression for the electrostatic potential \(V(\vec{r})\) at a point
\(\vec{r}\) due to a point charge located at \(\vec{r}'\). (There is nothing to
calculate here.)

Write down an expression for the electric field \(\vec{E}(\vec{r})\) at a point
\(\vec{r}\) due to a point charge located atÂ \(\vec{r}'\). (There is nothing to
calculate here.)

Working in rectangular coordinates, compute the gradient of
\(V\).

Write several sentences comparing your answers to the last two
questions.