Can Gauss's Law Be Applied to a Charged Circular Ring?

In summary, Gauss Law is a fundamental law of electromagnetism that relates the electric flux through a closed surface to the charge enclosed by that surface. It is applied in physics to calculate the electric field at any point in space due to a distribution of charges and to determine the charge enclosed by a closed surface. However, it has limitations as it is based on a static electric field and spherically symmetric charge distribution. Gauss Law is significant in engineering as it is used in the design and analysis of circuits and the development of electromagnetic devices. It can also be used in a vacuum as long as there is a charge distribution present, but the electric field is generally due to free charges rather than bound charges as in a material medium.
  • #1
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Homework Statement


A circular ring of radius a carries a uniform charge q C/m and is placed on x-y plane with axis same as z axis. To determine E at P(0,0,h). My ques is can't we apply gauss theorem? if yes then what will be the gaussian surface? if no then why not?


Homework Equations





The Attempt at a Solution

 
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  • #2
Gauss's law won't help you because there isn't enough symmetry. Gauss's law helps when you can claim that the field is uniform over a surface--that's not the case here.

You'll have to use brute force and integrate.
 

Related to Can Gauss's Law Be Applied to a Charged Circular Ring?

What is Gauss Law?

Gauss Law is a fundamental law of electromagnetism that relates the electric flux through a closed surface to the charge enclosed by that surface.

How is Gauss Law applied in physics?

Gauss Law is used in physics to calculate the electric field at any point in space due to a distribution of charges. It is also used to determine the charge enclosed by a closed surface.

What are the limitations of Gauss Law?

Gauss Law is based on the assumption of a static electric field and does not apply to time-varying fields. It also assumes that the charge distribution is spherically symmetric.

What is the significance of Gauss Law in engineering?

Gauss Law is used extensively in electrical engineering for the design and analysis of circuits, as well as in the development of electromagnetic devices such as motors and generators.

Can Gauss Law be used in a vacuum?

Yes, Gauss Law can be applied in a vacuum as long as there is a charge distribution present. However, in a vacuum, the electric field is generally due to the presence of free charges, such as electrons, rather than bound charges as in a material medium.

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