Derivative | Quantum Science Philippines
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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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Proving Vector Identity Involving the Unit Vector Using the Levi-Civita and the Kronecker Delta

Wednesday, June 29th, 2011

*author: Michelle R. Fudot   Prove: ___________________________________________________________ Proof: First, we define the following vectors as: ; ; and Now,¬† if we let i=k, then . Furthermore, Now, the derivative of orthonormal basis , that is, and the derivative of a coordinate X, . Also, , thus = = = = It is noted that . […]

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