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Electric Field due to a disk of radius R in the xy-plane
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[QUOTE="neroE, post: 6864303, member: 734242"] [B]Homework Statement:[/B] N/A [B]Relevant Equations:[/B] Coulomb's law mainly. Hello, This question, which I found in various electricitiy and magnetism books (e.g. Introduction to electrodynamics grif.). There are many variations of this question, I am mainly interested in the following setup of it: -Suppose there is a charged disk of radius R lying in the xy-plane, and the electric field is uniform. What is the electric field at the point P(0,0,z)? I know this can be solved by first considering a ring, deriving a formula for it, and then summing the infinite number of rings that make up a disk (via integration), and thus, the desired result is yielded. However, I am more interested in how to approach this using surface integration?I started with the parametrization G(u,v) = <ucos(v),u*sin(v),0> and found the normal unit vector to be <0,0,1> where: 0<u<R and 0<v<2*pi But, I am not sure how to continue from there, I attached a pdf showing my subsequent steps, which I am not sure if it is valid or not. Please help, and thank you in advance. [/QUOTE]
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Electric Field due to a disk of radius R in the xy-plane
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