- #1
mopar969 said:
A spherical capacitor is a type of capacitor that consists of two concentric spherical conductors, usually a solid inner sphere and a hollow outer sphere, separated by an insulating material known as a dielectric.
The capacitance of a spherical capacitor can be calculated using the formula C = 4πε0r1r2/ (r2 - r1), where ε0 is the permittivity of free space, r1 is the radius of the inner sphere, and r2 is the radius of the outer sphere.
To solve for the electric field within a spherical capacitor, you can use the formula E = Q / (4πε0r2), where Q is the charge on the inner sphere and r is the distance from the center of the capacitor.
The potential difference between the two spheres of a spherical capacitor can be calculated using the formula V = Q / (4πε0) * (1/r1 - 1/r2), where Q is the charge on the inner sphere and r1 and r2 are the radii of the inner and outer spheres, respectively.
The boundary conditions for a spherical capacitor state that the electric field at the surface of the inner sphere is equal to the electric field at the surface of the outer sphere, and the potential difference between the two spheres is equal to the potential difference between the two surfaces. These conditions can be used to solve for unknown quantities in spherical capacitor problems.
