(Solved): An air-filled spherical capacitor is constructed with an inner-shell radius of \( 7.50 \mathrm{~cm} ...

An air-filled spherical capacitor is constructed with an inner-shell radius of \( 7.50 \mathrm{~cm} \) and an outer-shell radius of \( 15.8 \mathrm{~cm} \). (a) Calculate the capacitance of the device. x pF (b) What potential difference between the spheres results in a \( 4.00 \mu \mathrm{C} \) charge on the capacitor? * kV (c) What If? What would be the length (in \( \mathrm{cm} \) ) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor if it were to have the same capacitance as the spherical capacitor? 2 \( \mathrm{cm} \)