The electrodes of a certain discharge tube have the form of a thin parallel-plate capacitor of plate separation d. The potential in the space between these electrodes has been found to have the form
Where x is the distance from the negative plate, V is the voltage between the electrodes, and x is a constant.
(a) Find the electric field vector in the space between the electrodes.
(b) Find the space charge density in this space.
(c) Find the surface charge density on the electrodes.