Recent content by galipop

Hi All, I've been doing a few problems with plate capactors and I have this new one which introduces a voltage U. I haven't seen an example with a voltage befopre so I'm not sure where to start it. I'm hoping someone could start me off. The problem goes like this: Find the electric field...

does anyone want to have a crack at it?

Hi All, I've just looked at an example for calculating the vector potential for a point in the vicinity of a long straight wire. I've now got to calculate the vector potential for a point between 2 parallel straight wires carrying currents in opposite directions. How does the vector...

How can I show that the capacitance of a plate capacitor increases if a dielectric material fills the space between the plates?

Thanks guys... Arunma, how did you know the solution without being able to derive it correctly?

ok so I redid the curl and got 2xc(1-b) = 0 therefore b=1 to satisfy that the curl = 0 and a=-1 so that the div = 0 :) ok that was easy after all... now how do I compute the potential?

Hi All, Given electric field E=c(2bxy,x^2+ay^2), I need to determine the constants a and b such that CURL E = 0 and DIV E = 0. I'm also given a path from (0,0) , (1,0) and (1,1). Ok so the curl = 0+0+cx(2-b) = 0 and the divergence = 2cy(b+a) = 0 How do I solve for a and b at this...

anyone? .

Thanks for the reply! Can you expand a bit more on starting with an electric field due to an infinite charged plate?

I've been asked to complete electric field E and potential V inside and outside of a simple plate capacitor (the plates are infinitely large and the distance between the two plates is d.) My working is as follows. Inside the cap- E = \frac{ \sigma } { \epsilon_{o} } then potential V=Ed...

ah...i was integrating from 0->1 and 0->1...that's why I wasn't getting the expected answer. So now I've done both parts, the results are the same. This is due to the relationship between Gauss and Stokes theroems correct? Now for part 3... Determine the constants a and b such that...

Curl of E is: c<0,0,2x-2bx> normal to the area is <0,0,1> how do I integrate this over the area of the triangle? Thanks...

oh. I thought HallsOfIvy was still talking about the 1st part :)

Why do you need to take the curl of E and integrate it over the area?

Hi again... I found an example on the net somewhere showing a similar example for a circle. After looking and that and these notes I think I sort of understand now. Ok so evaluating the integrals: (0,0) -> (0,1) = 0 (0,1) -> (1,1) = c ( 1 + (a/3) ) (1,1) -> (0,0) = c * sqrt(2)^3 / 3 (...