Electric Dipole

Show that the energy in the field of an electric dipole of moment p outside a sphere of radius R is p^2/(12*pi*epsilon nod*R^3)

Energy in the field of charged conducting sphere

A conducting sphere of radius R carries a charge Q. a) Calculate stored energy b) Calculate the radius R(sub 0.5) within which the field energy is one half the total stored energy. c) Calculate the radius R(sub0.9)

Ccapacitors

See attached file for full problem description.

Pressure caused by the repulsion of charges.

A balloon made of light conducting material could be kept approximately spherical by connecting it to a high voltage supply. The balloon has a diameter of 100 millimeters, and the maximum breakdown field in air is 3 megavolts/meter. a) What is the maximum permissible voltage? b) What gas pressure, in atmospheres, inside the balloon would have the same effect? c) How large could the surface mass density of the balloon be?

Ratio of electrostatic Energy stored in the capacitor combined in series and parallel.

Electrostatic Energy. See attached file for full problem description.