(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The electric potential in a certain region of space is given by: V(x,y,z) = 1000x-2000y-1500z(Volts). a.)Find the electric field corresponding to the given electric potential. Draw some electric field lines. b.) What charge distribution can create this electric field? Give all possible numericical information about the charge distribution that you can find from the given data.

2. Relevant equations

V=dv dv=-E*dl

dv(x,y,z) = ∂v/∂x *dx + ∂v/∂y *dy + ∂v/∂z *dz

E*dl = E_{x}dx+E_{y}dy+E_{z}dz

E_{x}= - ∂v/∂x E_{y}= - ∂v/∂y E_{z}= - ∂v/∂z

3. The attempt at a solution

V(x,y,z) = 1000x-2000y-1500z

dv = 1000-2000-1500

E_{x}= -1000 E_{y}= 2000 E_{z}= 1500

I have a gut feeling that I am missing some rather important steps here. I also have no idea where to begin in terms of drawing this, any help is highly appreciated.

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# Homework Help: Electric Field via partial derivative

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