Type(s) of charge distribution for spherical and cylindrical gaussian surfaces

[yanyin]

I have a new question:
"In applying Gauss's Law describe the types(s) of charge distribution for which (a) a spherical gaussian surface is useful and (b) a cylindrical gaussian surface is useful"
please help!

 

[Integral]

Seems pretty obvious. Use a Spherical surface for objects with spherical symmetry and cylindrical surface for objects with a cylindrical symmetry.

 

[M98Ranger]

In applying Gauss's Law, the type(s) of charge distribution for which a spherical gaussian surface is useful are spherically symmetric charge distributions. This means that the charge is distributed equally in all directions around a central point. Examples of this type of charge distribution include a point charge, a charged sphere, or a charged shell.

On the other hand, a cylindrical gaussian surface is useful for charge distributions that have cylindrical symmetry. This means that the charge is distributed evenly around a central axis, but not necessarily in all directions. Examples of this type of charge distribution include a long charged wire or a charged cylinder.

In both cases, the gaussian surface is chosen because it simplifies the calculation of the electric field and allows us to apply Gauss's Law. The spherical gaussian surface is useful because it allows us to take advantage of the symmetry of the charge distribution, while the cylindrical gaussian surface is useful for charge distributions that have a cylindrical shape.

In summary, the choice of gaussian surface depends on the symmetry of the charge distribution being studied. A spherical gaussian surface is useful for spherically symmetric charge distributions, while a cylindrical gaussian surface is useful for charge distributions with cylindrical symmetry.