In: Physics
A spherical capacitor has vacuum between its conducting shells and a capacitance of 125 pF. The outer shell has inner radius 9.00 cm.
a. If the potential of the inner shell is 355 V higher than the potential of the outer shell, what is the surface charge density on the outer shell?
b. If the potential of the inner shell is 355 V higher than the potential of the outer shell, what is the surface charge density on the inner shell?
First we are going to write the equation for potential for both
surfaces.Then we will write the equation for capacitance of
spherical capacitor which depend on only geometrical factors of
spherical capacitor. From that we will get the radius of inner
shell. And lastly putting this value in the equation of potential
on the inner Shell's surface we will get the value of charge on
inner shell.Then by using formula surface charge density equal to
charge/surface area, we can easily calculate surface charge
densities.