(Solved): Two concentric spherical shells of diameter 14.0cm and 26.0cm are used to form a spherical cap ...

Two concentric spherical shells of diameter $14.0\mathrm{cm}$ and $26.0\mathrm{cm}$ are used to form a spherical capacitor. The charges on the inner and outer shells are $?4.00?\mathrm{C}$ and $+4.00?\mathrm{C}$, respectively. (a) Determine the potential difference from the inner to the outer shell. Use the fact that the magnitude of the electric field at a distance $r$ from the center of the inner shell given by $E=\frac{kQ}{2}$, where $k$ is Coulomb's constant and $Q$ is the charge on the shell. How is the potential difference defined in terms of the electric field when the field varies with distance? Did you consider the direction of the electric field in the space betwe the two shells? kV (b) If the space between the two shells is filled with air, determine the capacitance. How is the capacitance related to the charge and the potential difference? pF