Voltage difference between two surfaces

[wildcard369]

How would you find voltage difference between two surfaces? If you are given a capacitor with an internal electric field that varies E. You also have the charge (sigma) and the radius of the inner surface r1 and the radius of the outer surface r2.

 

[cmos]

Well, since you know the stored charge and geometry, just solve the Poisson equation. However, since you seem to know the electric field it may be simpler just to integrate it.

 

[astrokreng]

The voltage difference between two surfaces is commonly referred to as the potential difference, and it is a measure of the electrical energy required to move a unit of charge from one surface to the other. In order to find the voltage difference between two surfaces, you would need to measure the potential at each surface using a voltmeter or other suitable instrument. The voltage difference can then be calculated by subtracting the potential at one surface from the potential at the other.

In the case of a capacitor with an internal electric field that varies, the voltage difference can be found by using the following equation:

V = E * d

Where V is the voltage difference, E is the electric field strength, and d is the distance between the two surfaces. In this scenario, the distance between the two surfaces would be the distance between the inner and outer surfaces of the capacitor, which can be calculated using the given radii r1 and r2.

If you are given the charge (sigma) on the surfaces instead of the electric field, you can use the following equation to find the voltage difference:

V = Q / C

Where V is the voltage difference, Q is the charge on one of the surfaces, and C is the capacitance of the capacitor. The capacitance can be calculated using the given radii and the formula:

C = 4*pi*epsilon*r1*r2 / (r2-r1)

Where epsilon is the permittivity of the material between the two surfaces.

In summary, the voltage difference between two surfaces can be found by measuring the potential at each surface and using the appropriate equations based on the given information about the electric field, charge, and radii.