Bias voltage required to deplete silicon slab of electrons

[mitch_1211]

I'm having a play around with a simple radiation detector that has 2 electrodes with a slab of uniformly doped silicon in between.

I'd like to know the bias voltage i would need to apply across the electrodes so that the silicon slab is just depleted of electrons (i.e so that positive charge is distributed though out the silicon dielectric) and I also need to know the capacitance of the detector at this voltage, but for that I think I can simply use C = q/v (not sure how to calculate charge here)

I know the dimensions of the electrodes and thickness of silicon and I have a good approximation of the relative permittivity of the silicon dielectric.

Any pointers would help a lot

 

[Vailanor]

! Thanks.To calculate the bias voltage, you need to use the equation V = (Er - 1)*(Eo/2t) where Er is the relative permittivity of the silicon dielectric, Eo is the permittivity of free space, and t is the thickness of the silicon slab. Then you can calculate the capacitance using the equation C = Er*Eo/t.