A hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 18 cm. A charge Q = -45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 19 μC/m4. a. What is the radial electric field at the point r = 0.5R1? Give the answer in units of kN/C, and take the positive direction outwards.  b. What is the radial electric field at the point r = 0.5(R1+R2)? Give your answer in units of kN/C.  c. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C

A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d (Fig. P22.45). The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the electric field E (magnitude and direction) in terms of q and the distance r from the common center of the two shells for (i) r d. Graph the radial component of E as a function of r. (b) What is the total charge on the (i) inner surface of the small shell; (ii) outer surface of the small shell; (iii) inner surface of the large shell; (iv) outer surface of the large shell? Figure P22.45

An electric field of magnitude E = 400 N/C points in the +x-direction for x > 0 and in the –x-direction for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x-axis such that one end is at x = +15 cm and the other is at x = –15 cm. What is the flux through each end of the cylinder? Group of answer choices 0.25 kN·m2/C 0.13 MN·m2/C zero 1.3 kN·m2/C 13 N·m2/C

A long hollow insulating cylinder has an inside radius a, outside radius b, and a uniform charge desity ρ. What is the electric field a distance r from the central axis? Give answers for r < a, a < r< b, and r > b