A nonconducting positively charged slab 1 of thickness \(2 a\) has a nonuniform but symmetrical volume charge density \(ho_{0} x / a\). The sheet is centered, at \(x=0\), on the \(y z\) plane of a Cartesian coordinate system.

(a) Determine the magnitude and direction of the electric field in all regions of space as a function of \(x\), the distance from the \(y z\) plane.

(b) A nonconducting charged slab 2 , of thickness \(2 t\), is placed parallel to sheet 1 such that sheet 2 intersects the \(x\) axis at \(x=d\). Sheet 2 is positively charged and has a uniform volume charge density \(ho_{0}\). Determine the electric field in all regions of space as a function of \(x\).