(Solved): Please help a-e!! 1. A solid sphere of total charge Q and radius R has uniform charge density . Le ...

1. A solid sphere of total charge $\mathrm{Q}$ and radius $\mathrm{R}$ has uniform charge density $\rho$. Let $r$ represent distances from the center of the sphere (i.e. the radial coordinate). A. ( 5 points) Find the electric field inside the sphere using any method you have learned this term. The field outside the sphere is given in our equation sheet. B. (5 points) Using $\Delta V=V\left(r_f\right)-V\left(r_i\right)=-{\int }_{r_i}^{r_f}\vec{E}\cdot d\vec{r}$ determine the electric potential as a function of distance $V(r)$ from the center of the sphere for points outside the sphere $r>R$. Be sure to draw a diagram and label any quantities of interest. C. (5 points) Determine the electric potential as a function of distance $V(r)$ from the center of the sphere for points inside the sphere $r<R$. Be sure to draw a diagram and label any quantities of interest. D. ( 5 points) Show that your expressions for the potential inside and outside the sphere have the correct physical units. E. (5 points) Sketch a plot of $V(r)$ and $E(r)$ showing their dependence on distance from the center of the sphere. Describe any similarities and/or differences. Do your plots make sense?