# Search results

1. ### Space Dependence of Electric potential

Well... if you were to move along the z-axis while keeping the same x and y coordinates, your change in voltage would be 0 since the voltage doesn't depend on z. So the line of charge would be along the z axis and just points in the \hat{k} direction, right?
2. ### Space Dependence of Electric potential

Ohhhh, wait a second. I see what I'm doing now. So by doing the gradient I got that: Ex = -(V0x)/(x2 + y2) Ey = -(V0y)/(x2 + y2) Ez = 0 And if you model sqrt{x2 + y2} as a vector "r", you get that the field has an inverse dependence on r and that the object producing the field would probably...
3. ### Space Dependence of Electric potential

Well I understand the idea that V(\vec{r}) varies with x and y, but isn't V0 a constant? That's what's confusing me. Generally when things have the subscript "0", they're looked at as a constant. If this is true, then how would I take the gradient of the voltage? And when I say "In the...
4. ### Space Dependence of Electric potential

Homework Statement The space dependence of an electric potential V(\vec{r}) = V(x,y,z)=V0ln((sqrt{x2 + y2})/a) 1. What is the electric field at position \vec{r} = <x,y,z>? 2. Explain how the electric field looks in general. Make a sketch. 3. What object would produce an electric...
5. ### Finding the electric field on a cylinder with a hole

Oh wait, nevermind. The third part would be in the direction of just vector "b" correct? Since it doesn't depend on "r"?
6. ### Finding the electric field on a cylinder with a hole

Okay, so I'm pretty sure I have it now: So for the first part I got E=rρ/2ε0 in the direction of vector "r" For the second part I got that E=0 For the third part I got that E=bρ/2ε0 in the direction of vector "r" Does that seem right? The only thing I'm not totally sure about now is...
7. ### Finding the electric field on a cylinder with a hole

Well for the first part I calculated that electric field for a "r" that was greater than "R", so shouldn't it be decreasing as "r" gets greater? Instead of doing this, should I calculate the electric field at the border of the cylinder? For the second part, well then could you explain what...
8. ### Finding the electric field on a cylinder with a hole

Homework Statement A very long, solid insulating cylinder with radius "R" has a cylindrical hole with radius "a" bored along its entire length. The solid material of the cylinder has a uniform volume charge density "ρ". In this problem, you will find the magnitude and the direction of the...