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    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...
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    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...