(Solved): Problem 1 [20 points] The figure shows concentric one solid insulating sphere with radius R1 and ...

Problem 1 [20 points] The figure shows concentric one solid insulating sphere with radius $R_1$ and one conducting spherical shell with an inner radius $R_2$ and an outer radius $R_3$ : - The solid insulating sphere has a radius $R_1=$ $7\mathrm{cm}$ and a total uniformly distributed charge inside the volume is $Q_1=12\times 10^{?9}C$. - The conducting spherical shells with radius $R_2=13\mathrm{cm}$ and $R_3=15\mathrm{cm}$, and a total charge $Q_2=20\times 10^{?9}\mathrm{C}$. a) [1 point] The net electric flux can be calculated using the formula number (refer to the formula sheet for formula number) b) [ 2 points] ${?}_1$, the net electric flux through the spherical surface of radius $r=7\mathrm{cm}$ from the center of the spheres is given by ${?}_1=\frac{\left(12?10^{?9}\right)}{8.85?10^{?12}}{?}_1=\frac{\left(32?10^{?9}\right)}{8.85?10^{?12}}{?}_1=\frac{\left(20?10^{?9}\right)}{8.85?10^{?12}}$ c) [3 points] Calculate ${?}_1$. ${?}_1=$ d) [4 points] Calculate $E_1$, the magnitude of the electric field at $r=9\mathrm{cm}$ from the center of the spheres. $E_1=$ e) [4 points] Calculate $E_2$, the magnitude of the electric field at $r=14\mathrm{cm}$ from the center of the spheres. $E_2=[\text{ SI unit] }$ f) [2 points] Calculate $E_3$, the magnitude of the electric field at $r=18\mathrm{cm}$ from the center of the spheres. $E_3=\text{ [SI unit] }$ g) [4 points] Calculate the charge on the inner radius of conducting spherical shell at $R_2=13$ $\mathrm{cm}$ $Q_{\text{inner }}=$