The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs1.0 m; p(r)= 5p,(1-r/3) For r> 1.0 m; p(r)= 0, where r is in meters. What is the value of r in meters for which the electric field is maximum? O 0.25 O 0.50 О 0.75 O 1.00 O 2.00 О 3.00

(Figure 1)A slab of insulating material of uniform thickness d, lying between -d/2 to +d/2 along the x axis, extends infinitely in the y and z directions, as shown in the figure. The slab has a uniform charge density p. The electric field is zero in the middle of the slab, at z = 0. Figure x=+d/2 x=0 x= -d/2 1 of 2 0 -1.57 rad Submit ✓ Correct Part C What is Eout, the magnitude of the electric field outside the slab? As implied by the fact that Eout is not given as a function of, this magnitude is constant everywhere outside the slab, not just at the surface. Express your answer in terms of d, p, and . ► View Available Hint(s) pd Eout = 2€0 Previous Answers Submit Previous Answers ✓ Correct Part D What is Ein (2), the magnitude of the electric field inside the slab as a function of z? ▸ View Available Hint(s) Ein (2) = Submit |VL]ΑΣΦ ?

2) An insulating sphere of radius a carries a net positive charge 4q, uniformly distributed throughout its volume as a volume charge density p. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c, and having a net charge -6q, as shown in Figure. Find the electric field in the regions (a) 1, (b) 2, (c) 3, and (d) 4. -6q 49 Insulator a (1 (2 (3. Conductor 4