Question

A point charge is located at the center of a thin spherical conducting shell of inner and outer radii r and r2, respectively. A second thin spherical conducting shell of inner and outer radiR1 and R2. respectively, is concentric with the first shell. The flux is as follows for the different regions of this arrangement. Φ 10.1 103 N·m2/C for r < r o for 2 Ф-38.7 x 103 N-m2/C forpsrcR1 Φ_Ofor R1 < r < R2 p -38.7 x 103N m2/C for r> R2 Determine the magnitude and sign of the point charge and the charge on the surface of the two shells. 0.894 What is the flux due to the point charge in the region inside the inner shell? How is this flux related to the charge inside the spherical shell? HC 1.238X what is the total flux r2く「くR? what is the net charge corresponding to this flux? How much of this net charge corresponds to the charge on the surface of the inner shell? -6.8499e-7X what is the total flux r > R2? what is the net charge corresponding to this fla? How much of this net charge corresponds to the charge on the surface of theo ter she ? μc point charge inner shell outer shell

Answer 1

- phi rightarrow Charge induced on the inner surface of the inner shell + phi rightarrow charge induced on the outer surface of inner shell - phi rightarrow charge induced on the inner surface of outer shell - phi rightarrow charge induced on the outer surface of outer shell by induction in region I, r < r_1 phi = -1 0.1 times 10^3 Nm^2/C q(enclosed) /E_0 = -10.1 times 10^3 Nm^2/C Rightarrow phi = E_0 times (- 10.1 times 10^3 Nm^2/c) = 8.8554 times 10^- 12 times (- 10.1) times 10^3 C = -89.43 times 10^- 9 C phi = -0.0894 mu c rightarrow point charge for inner shell rightarrow - 0.0894 mu c = + phi for outer shell rightarrow + phi = -0.0894 mu c