Recent content by gaganaut

I was reading on a textbook and came across a step and I had no idea how the author got the next step from it. This was basically differentiation of a definite integral. So here it is. \frac{\partial}{\partial t}{\int_0^t}{\int_0^1}u_t^2(x,s)dx ds So I figured that u_t=\frac{\partial...

Thank you Born2bwire. This is very helpful. I will now try and see if my library holds these books. I really appreciate.

Thanks Gabbagabbahey. That sounds interesting and really promising, now that I think about it. I will look into it and post my experience with it here. Thanks for the clue though, this might be it.

We have the equations available for computing the reflected and transmitted electric fields in the case when a plane wave is incident on a dielectric surface. Now what I wish to do is compute similar reflected and transmitted components of the electric field due to an oscillating electric...

Well never mind. I found a way to find the effect of a dielectric or non-conductive wall on an electric field. It is slightly more involved than its conductive counterpart. Here is a paper that does this derivation http://iopscience.iop.org/0143-0807/21/6/305 It is sort of the like the method...

I have dealt quite a lot with the boundary value electrostatics problem with a plane or spherical conducting surface in an electric field due to a single electric charge or dipole. This can be conveniently done using the method of images. Method of images simplifies a lot of things. Jackson's...

Does there exist anything like a polar complex differentiation? So there exists a gradient equation in polar coordinates something like \nabla{f} = \frac{\partial f}{\partial r} e_r + \frac{1}{r}\;\frac{\partial f}{\partial \theta} e_{\theta} But this is not for a complex number f(z) where...

Hi, This is to do with my research. While deriving some theory, I got an equation as follows. \lim_{n\rightarrow\infty}\sum_{i=1}^n\frac{R^2}{R^2+(4a\,i-2\,k)^2-(4a\,i-2\,k)\,\sin(\gamma)} Never mind what R, a, k, and \gamma are. They are all constants. What I would like to do is to get a...

While I was working on my research problem, I came across this integral. \int_0^{\pi}\;\frac{k_1}{-k_2\left(2R\;(k_3\cos{\alpha}+k_4\sin{\alpha})-k_5\right)^{1.5}} All the k_i\;'s are constants and so is R. I tried writing out an infinite series for...

Thanks Compuchip. I got your point. So stupid of me. The (x,y,z) can be used to find theta, phi. My bad.

May be I am missing something very simple here. But I do not know the (r,~\theta,~\phi) as well. I did try to do it that way though to start with. All I know is the magnitudes in the \hat{r},~\hat{\theta} and \hat{\phi} directions and the starting point. And nothing else. Can the...

Hi, I would like to transform a vector from Spherical to cartesian coordinate system. But the question is probably not that straight forward. :( I have a vector say E = E_r~\hat{r}+E_{\theta}~\hat{\theta}+E_{\phi}~\hat{\phi}. But I know only the cartesian coordinate from where it...

Actually, I did find some information about decoupling caps in the datasheet. They need to be 0.1uF. Regarding the battery, I have a =/1 7.4V battery and it was picked up off the shelf. Actually, one of my labmates ordered 4 of these and I an planning to just use these to save some moolah...

Thanks Berkeman. That was helpful. I am planning to use a 7.4V LiPo for powering up. So that fits perfectly to your suggestion. Thanks Misgfool. The input range for the regulators, as you pointed out, is 7-20V for uA78L05. I am going to use a 7.4V LiPo, so it will be well within limits...

I am trying to build an opamp array to amplify some voltages simultaneously. The amplification part has been designed. But now I am trying to design a Regulated Dual Supply for all the opamps. I found this circuit diagram in the Texas Instruments datasheet for uA78L05. This diagram shows an...