Question

why we choose a cylindrical Gaussian surface for finding out flux through uniformly charged straight wire and not a sphere or a cube ?

Answer 1

Explanation:

Gaussian surface (sometimes abbreviated as G.S.) is a closed surface in three-dimensional space through which the flux of a vector field is calculated; usually the gravitational field, the electric field, or magnetic field.[1] It is an arbitrary closed surface S = ∂V (the boundary of a 3-dimensional region V) used in conjunction with Gauss's law for the corresponding field (Gauss's law, Gauss's law for magnetism, or Gauss's law for gravity) by performing a surface integral, in order to calculate the total amount of the source quantity enclosed; e.g., amount of gravitational mass as the source of the gravitational field or amount of electric charge as the source of the electrostatic field, or vice versa: calculate the fields for the source distribution.

Answer 2

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• A cylindrical Gaussian surface is used when finding the electric field or the flux produced by any of the following: an infinitely long line of uniform charge. an infinite plane of uniform charge. an infinitely long cylinder of uniform charge.

• A cylindrical Gaussian surface is commonly used to calculate the electric charge of an infinitely long, straight, 'ideal' wire.
• The electric field lines that enter a Gaussian surface must exit it. You can compare this to the flow of water in a river. Hence, any kind of flow which is external to the surface will not contribute to the net flux of water from the surface.

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