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Consider a slab of material containing a volume charge distribution throughout. The slab is of length d in the z direction, and its dimensions in x and y represent a cross-sectional area of A. Free space permittivity exists throughout. The electric field in the slab is given by
where p0 is a positive constant. (a) Find the volume charge density pv in the slab, (b) Find the total charge in the slab. (c) Verify your result for part b by evaluating the net outward flux of D through the slab surfaces.
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Engineering Electromagnetics
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