I need an equation for Capacitors spherical

[SoulofLoneWlf]

trying to find the potential difference of a spherical capacitor

If the potential difference between the two spheres is 220 V, what is the magnitude of charge on each sphere?

just looking for an equation that i can manipulate thanks all

 

[jtbell]

A Google search for "spherical capacitor" gave me as the first "hit":

http://hyperphysics.phy-astr.gsu.edu/Hbase/electric/capsph.html

 

[astrokreng]

The equation for the capacitance of a spherical capacitor is C = 4πε0r1r2/(r1+r2), where C is the capacitance, ε0 is the permittivity of free space, r1 and r2 are the radii of the two spheres.

To find the potential difference of a spherical capacitor, we can use the equation V = Q/C, where V is the potential difference, Q is the charge on the capacitor, and C is the capacitance.

In this case, we can rearrange the equation to solve for Q: Q = CV. Substituting the given values, we get Q = (4πε0r1r2/(r1+r2)) * 220 V.

To find the magnitude of charge on each sphere, we can divide the total charge by 2, since the charge is evenly distributed between the two spheres. Therefore, the magnitude of charge on each sphere would be Q/2 = [(4πε0r1r2/(r1+r2)) * 220 V]/2.

I hope this helps! Please note that this equation assumes the spheres are conducting and have no dielectric material between them. If there is a dielectric material present, the equation would be slightly different.