Avan de graaff generator is a device for generating a large electric potential by building up charge on a hollow metal sphere. a typical classroom-demonstration model has a diameter of 30 cm. a)how much charge is needed on the sphere for its potential to be 500,000v? b) what is the electric field strength just outside the surface of the sphere when it is charged to 500,000v? show your work

3333333.33 V/m

Explanation:

k = Coulomb constant =

d = Diameter = 30 cm

r = Radius =

V = Voltage = 500000 V

Potential in a Van de Graaff generator is given by

Charge needed on the sphere is

Electric field is given by

The electric field strength just outside the surface of the sphere is 3333333.33 V/m

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because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14