Poissons' equation of find potential

[FourierX]

Homework Statement

Two infinite parallel plates separated by a distance s are at potentials 0 and V_o.
a) Use poisson's equation to find the potential V in the region between the plates where the space charge density is $$\rho$$ = $$\rho_o$$(x/s). The distance x is measured from the plate at zero potential.

Homework Equations

$$\nabla$$$$^{2}$$ V = -$$\frac{1}{\epsilon_o}\rho$$

The Attempt at a Solution

I used the Poisson's equation as stated but could not really get logical looking V. Charge densities on the plates are pain in the neck also.

 

[borgwal]

The equation you list under 2., is not Poisson's equation. Poisson's equation will be simple for this case.

 

[FourierX]

thanks brogwal, i resolved my equation, that was blunder. But i am stuck again :(

 

[borgwal]

Hint: is V going to depend on y and z?

 

[FourierX]

No, V does not depend on y and z. I did not get the hint :c

 

[borgwal]

Just write out the equation for V in the case it depends only on x [you do know what $\nabla^2$ stands for I hope!]. I'm sure you can solve that equation.