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Prove Green’s Reciprocation Theorem

Monday, July 4th, 2011

Author: Kayrol Ann B. Vacalares MS-Physics 1, MSU-Iligan Institute of Technology ______________________________________________________________   Prove Green’s Reciprocation Theorem: If is the potential due to a volume-charge density within a volume V and a surface charge density on the  conducting surface S bounding the volume V, while is the potential due to another charge distribution and , […]

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Curl of the product of a scalar and a vector using Levi-Civita

Friday, July 1st, 2011

By Eliezer Estrecho To prove this formula, we use the following: Where: and Using the equation above: We can factor out in the first term to give: Note that for the second term, the permutation of indices are odd, rearranging them to ijk will give the negative: Thus, About the author: Eliezer Estrecho is currently […]

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Verifying vector formulas using Levi-Civita: (Divergence & Curl of normal unit vector n)

Tuesday, June 28th, 2011

By Sim P. Bantayan, MS Physics I, MSU-IIT Let , and where and .   1. Prove that . Proof: Now, . Since i=j for the divergence of normal unit vector n, but (i=j). Moreover, for three dimensions, , so Therefore, .   2. Prove that . Proof: . Since i=j for the curl of normal unit vector n, […]

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Vector Identity Formula #12 verified by using Levi-Civita

Monday, June 27th, 2011

Hi, guys! The following is my solution on verifying these two vector identity formulas. Show that (a) and (b) Solution: Let and (a) since and Thus, and (b) since and Therefore, About Me: I am Yusof-Den Jamasali, an MS Physics student of Mindanao State University – Iligan Institute of Technology. I like painting, and drawing. […]

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