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## Homework Statement

The space dependence of an electric potential V([itex]\vec{r}[/itex]) = V(x,y,z)=V

_{0}ln((sqrt{x

^{2}+ y

^{2}})/a)

1. What is the electric field at position [itex]\vec{r}[/itex] = <x,y,z>?

2. Explain how the electric field looks in general. Make a sketch.

3. What object would produce an electric field like this?

## The Attempt at a Solution

I haven't really tried much yet. What really confuses me about this question is the part in the prompt that comes after the equals sign. I'm not really sure what I'm supposed to do with it. To find the electric field do they just want me to take the gradient of the potential or something? That doesn't seem right because there's only a constant V

_{0}. I'm a bit lost....