4. A uniform charge of is placed on the sphere of a Van de Graaff generator, suc

Question

4. A uniform charge of is placed on the sphere of a Van de Graaff generator, such that electron discharge is observed from a conducting point a distance of46 cm away (center to center). Let the dielectric strength of air... E 3x10 N/C a) Determine the Electric Potentials at the 80 cm and 50 c radial locations: b A small air balloon of charge q 8.4 nc and mass 1.52 grams, is placed at rest at the 80 cm potential surface, and then released. Determine its speed v at the 50 cm radial location: tneglect any air resistance) Hint: Work-Energy Theorem... W AK

Explanation / Answer

Case a )

The potential that can be obtained with a Van der Graaff generator depends on the radius of A sphere and insulating materials.

A material that is normally insulating becomes driver due to large stresses. The maximum value of the field that a medium insulation supports without becoming driver is called field of rupture. In the air that value is 3 x 10^6 v/meter.

The full potential that we can give to a Van der Graaff generator is limited by the environment that surrounds it, not worth and the insulator column and values:

V = Electric Potential = R E therefore to solve case a) it is necessary to substitute E = 3 x 10 ^6 V /m and R1 = .8 m and R2 = .50m respectively, so we

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