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Electrostatic Energy and Energy Densities of Different Capacitors

Monday, July 4th, 2011

Electrostatic Energy and Energy Densities of Different Capacitors Author: Quennie J. Paylaga, Master of Science in Physics student Problem 1.8 (Chapter 1 of Classical Electrodynamics 3rd Edition by JD Jackson) Calculate the electrostatic energy (express it in terms of equal and opposite charges Q and -Q placed on the conductors and the potential difference between […]

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Solving for the electric field using Gauss’ theorem

Monday, July 4th, 2011

Bianca Rae B. Sambo Problem 1.4 (Classical Electrodynamics, 3rd Edition by Jackson)   Each of the three charged spheres of radius a has a total charge Q. One is conducting, one has a uniform charge density within its volume and one having a spherically symmetric charge density that varies radially as where (r>-3). Use Gauss’ […]

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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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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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Three Dimensional Virial Theorem for the Hydrogen Atom

Saturday, March 20th, 2010

Catherine Therese J. Quiñones The virial theorem is a general theorem relating the potential energy (V) and the kinetic energy (T) in a bound system.  A simple physical example is a small object orbiting around another object  bound by a force as in the case of a hydrogen atom. The average kinetic energy and potential […]

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