Find v(z) given volume charge density

[derek l]

Homework Statement

Consider the parallel plate capacitor(no figure). The capacitor plates have a separation distance d in the z-direction. The volume charge density is given by ρ_v. Find v(z).

Homework Equations

ρ_v = ρ_o*sin(pi*z/2*d)

The Attempt at a Solution

[/B]
∫(ρ_vdz) = -ρ_o*2d/pi*cos(pi*z/2*d) +A= dv/dz

∫dv/dz = -ρ_o*(2d/pi)^2*sin(pi*z/2*d) +Az + B = v(z)

 

[kuruman]

You need to consider definite integrals so that the integration constants can be defined. What are your limits of integration? Also, it looks like you are missing an ε₀ somewhere.