What is the maximum potential that the dome of a van de Graff generator can be s

Question

What is the maximum potential that the dome of a van de Graff generator can be safely charged to if its radius is 25cm and the breakdown electric field in air is 3.0MV/m? Two spherical conductors are widely separated. One has radius R and the other 2R. Initially, the small spheres carry a charge Q while the larger sphere is neutral. They are then connected by a long metallic wire. What is now the charge on the small sphere? A spherical conductor of radius R_1 is charged to 20 kV. When it is connected by a long, very thin conducting wire to an uncharged second conducting sphere far away, its potential drops to 15 kV. What is the radius of the second sphere? A solid sphere of radius R carries a total charge Q uniformly distributed throughout its volume. Find the potential at a point a distance R/2 from the center. A configuration of conductors consists of a thin spherical shell of radius a, carrying a uniformly distributed total charge Q surrounded by a concentric thick spherical shell with inner radius b and outer radius c. Find the electric field and electric potential at a point a distance r from the center separately for the four regions r

Explanation / Answer

3.relation between electric field, potential difference and distance is

E = V/d

V = E*d

= (3*10^6)*(0.25)

= 750 kV

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