کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1708442 1012823 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The electrostatic potential of a uniformly charged disk as the source of novel mathematical identities
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
The electrostatic potential of a uniformly charged disk as the source of novel mathematical identities
چکیده انگلیسی

We use two different frameworks to calculate the electrostatic potential created by a uniformly charged disk in its plane. We first implement a standard direct integration approach and carry out the calculations to the extent possible while keeping them simple. We then apply a different method that relies on Bessel function transformations. This method allows us to derive compact analytic expressions for the electrostatic potential in terms of complete elliptic integrals of the first and second kind. By comparing the results obtained through the application of the two different approaches, we uncover interesting transformation formulas and novel mathematical identities that might be of interest to a broad range of researchers in mathematical and physical sciences.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 24, Issue 11, November 2011, Pages 1919–1923
نویسندگان
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