The relation between Maxwell's equations and Chern Class
I have heard that the Maxwell's equations has something to do with Chern Class! I feel its very interesting that the equations has something to do with the topological class. Anyone know how they are...
View ArticleStoke's Theorem - Curl of a Magnetic Field
Griffiths's proof of Ampère's Law was probably one of the ugliest things I've seen. All that product rule, integration by parts and what not, really could have brought tears to the eyes of ANY man. I...
View ArticleWhy don't objects with greater mass fall faster?
Galileo found in his experiment that all objects regardless of its mass take same time to fall from above, if the air resistance is effectively overcome. Aren't objects with larger mass supposed to...
View Articlesimulating e&m wave propagation..
Hello everyone. I'm really struggling to simulate a cavity problem. My goal is to be able to know what's going to happen if i introduce spatially dependent phase inbetween mirrors of a cavity that...
View ArticleCondition of Helmholtz theorem to hold.
I want to verify this, according to Griffiths p 557: [tex]\vec{F}(\vec r')=-\nabla U+\nabla\times\vec A[/tex] ONLY if both ##\nabla U\; and \; \nabla\times\vec A\rightarrow\;0## faster than ##\frac 1...
View Articletopology-bornology as a basis of turbulence
According to Wikipedia bornology is the minimum amount of structure needed to address boundedness. Topology is the minimum amount of structure needed to address continuity. Topology-bornology (cf....
View ArticleGauss's Law
Hi, could anyone help me understand the permittivity of free space in Gauss's Law: [itex]\Phi[/itex] = q/[itex]\epsilon[/itex]0 If you consider a point charge in a box then I think it tells you how...
View ArticleVelocity of spring mass system with spring mass
I am having a hard time figuring out how to calculate the velocity of a mass in a spring-mass system with respect to distance, where the spring has a mass to it. The spring would be a long steel cable...
View ArticleMomentum and energy in a collision
Lets say an archer shoots an arrow or a gun fires a bullet, why is it that a lighter objects (arrow and a bullet) gain larger kinetic energy than the heavier one's? Shouldn't it be newtons 3rd law:...
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linear force of a syringe pump plunger
Hi all, I am looking for the correct calculation of the torque (or linear force) that is needed on a syringe plunger to overcome a backpressure at the nozzle of 20,000 psi. I have to decide which...
View ArticleAverage of a tensor composed of unit vectors
Hello, I'm studying The Theory of Polymer Dynamics by Doi and Edwards and on page 98 there is a tensor, defined as a composition of two identical unit vectors pointing from the monomer n to the monomer...
View ArticleWhat is the relationship between torque and angular momentum?
I'm looking for an equation similar to the change in forward momentum equation: Δmv=f*Δt But for angular momentum. I think it will be (change in angular momentum) = (torque) * (change in time) Here is...
View ArticleProving that a heat engine cannot exceed the carnot efficiency
In many textbooks, a proof is provided where the work output of a super-efficient heat engine is provided to a carnot refrigerator, with the net result that a spontaneous heat transfer occurs from the...
View ArticleVibrationel energy of vibration drop?
I want to calculate the vibrational energy of vibrating water drops. To start with I assume water is inviscid. The frequency spectrum can be found in for example Landau and Lifshitz. But I would like...
View ArticleIntensity of wave source
This is something I don't relly get. I keep reading that the intensity of a wave is proportional to the square of its amplitude. So let's suppose we have a random wave source, with amplitude A0. If we...
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Electrohydrodynamic 'Skin' On Aerodynamic Bodies
Hey ya'll! I've come to the Physics Forum when I needed help with homework, but only to observe. This is my first time posting, and I'm glad to be here! I've got a question about, electrohydrodynamics....
View ArticleWhat is torque?
i am a junior physics student; i have already been exposed to the equation many times. Now i am more interested in getting more familiar with the nature of things; the nature of torque.. what IS it? i...
View Articlewhat is a dipole moment?
i have an intuition of electric field lines, and force. All quantities yielded from an operation between two quantities should hold meaning. what meaning does the value "q x d" hold? i'm looking for...
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What is the intensity of this light?
I am struggling with a derivation that calculates the cross sections for Mie scattering and since the incident light is considered to be a x-polarized plane wave I thought that we would have[ tex ] I_i...
View Articlemomentum, position vector dot (scalar) product "action"
Hello, I was playing with single mass point classical mechanics, when I realized that the dot product of the position vector and momentum vector, p.r , has action dimension. Furthermore, its time...
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