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### The Normal Derivative Of Electric Field

Monday, July 4th, 2011

By Euprime B. Regalado From Gauss theorem, we can show that the surface of a curved charged conductor, the normal derivative of the electric field is given by where and are the principal radii of curvature of the surface.  Gauss’s law in integral form is expressed as when there are no charges enclosed in the […]

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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 […]

### Curl of the Gradient of a Scalar

Wednesday, June 29th, 2011

proof that the curl of the gradient of a scalar function is equal to zero let and

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### Proving Vector Formula with Kronecker Delta Function and Levi-Civita Symbol

Tuesday, June 28th, 2011

Applying and in Proving the Vector Formula:  By: Quennie J. Paylaga   Prove: using Kronecker Delta Function and Levi-Civita Symbol.     To prove this, we let We can write the expression for in summation form as:      where where i, j, l are dummy summation variables. Each of which can be any letter […]

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