Recent content by Swapnil

I know that Maxwell's Equation can be used to derive all sorts of laws (which is why they are so famous and revered). I was actually interested in knowing if we can derive full-blown Maxwell's Equations (all 4 of 'em) using the set of three laws: {Coulomb's law, Biot-Savart Law, Law of...

Biot-Savart + Coulomb + Charge Conservation = Maxwell?? Do the Biot-Savart Law, Coulomb's Law, and the Law of Charge Conservation contain the same information as Maxwell's Equations? i.e. \begin{cases} d\vec{B} = \frac{\mu_o}{4\pi} \frac{I d\vec{l} \times \hat r }{r^2} \\ \vec{E}=...

What is exactly the difference between f and f(n) and why can't we write (f \circ g)(n) as f(n) \circ g(n)?

Wait! I am getting mixed messages. You implied that additive operators might also be called homomorphisms. But then at the end you said that linear and multiplicative operators can also be called homomorphisms?

If an operator T is linear then for functions g(x) anf f(x), T{ f(x) + g(x) } = T{f(x)} + T{g(x)} I was wondering, is there a name for operator U which has the property, U{ f(x)*g(x) } = U{f(x)}*U{g(x)} ??

Anyone?

Photon Speed Same Always?? Hi there. I read the following in a wikipedia article (http://en.wikipedia.org/wiki/Cherenkov_radiation): Can anyone help me out to make sense out of this statement? The speed of a light wave v = c/n in a medium is DIFFERENT that what it is in free space. Then how...

When a em-wave goes from free space to a lossless medium with a n > 1, why is it that the wave impedence \eta becomes smaller i.e. \eta = \frac{\eta_0} { n}. I know why from the math but I how to get to this result just by some intuitive reasoning?

Any others?

Those look like some good schools from what I got from their website. I am not sure what Berkeley is doing over there though. Look at the following post about Berkeley: https://www.physicsforums.com/showthread.php?t=185751

RF/Microwave: Grad Schools What are some good electrical engineering graduate schools in the U.S. that are doing some good RF/microwave research? In a previous post, las3rjock told me about three graduate schools that he thought were good at microwave engineering: MIT, University of...

Thanks las3rjock. I checked out those universities and it seems that there is some good Rf/microwave engineering going on over there.

So any final thoughts? Microwave Engineering Research at Berkeley: Thumbs Up of Thumbs Down?

UC Berkeley EE Grad School!? I was going to apply to UC Berkeley's graduate school of electrical enginering, but when I went on their website and looked up the type of research they are doing over there, I was surprised to find out that they are barely doing any RF/microwave or optics research...

Thanks again! Can I buy these chemicals (crystal violet, phloroglucinol, and toluidine blue) from some local store (if so, then which?) or do I need to order them online (if so, then what are some good online stores?). Also, I tried searching for the aforementioned chemicals at my local...