1. A solid sphere with radius R has a uniform charge density p. Find the electric field both inside and outside the sphere. (Hint: Outside the sphere, Qenc does not depend on r anymore.)
2. An infinite plane slab of thickness 2H has a uniform charge density p , wherez is defined to be at the center of the slab. In the z direction, the slab extends from z = -H to z = +H. Find the electric field both inside and outside the slab. (Hint: Outside the slab, does not depend on z anymore.)
3. Consider a volume that corresponds to a section of a sphere with radius R. The spherical section spans from and . This volume has a non-uniform charge density . Find the total charge of the given volume.
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