Surfaces Definition and 425 Threads

Problem: A given system has the equipotential surfaces shown below, where Vo = 12.0 V. (a) What are the magnitude and direction of the electric field? (b) What is the shortest distance one can move to undergo a change in potential of 5.00 V? I am not too sure on what equations I...

Volume between two surfaces? hi guys, i hope you can help with this, how to find the volume between those surfases: x^2+y^2+z^2=0 z=\sqrt{x^2+y^2} thanks in advance

I need to take a surface integral where S is x^2 + y^2 + 2z^2 = 10. I need help with the parametrization of the curve. Letting x=u and y=v makes the problem too complicated. Can you let x=cos(u), y=sin(u) and z=3/sqrt(2)?

If we have that for geodesic they satisfy... S=\int_{a}^{b}ds\sum_{a,b}(\dot{x_{a}\dot{x^{b}) then minimizing the functional we get the geodesic equation..my question is if for the Area of a Surface is: A=\iint_{S}dA\sum_{a,b}(f_{a})(f_{b}) wherewehave defined f_{a}=df/dx_{a}...

Hi, I'm looking into the subject of "Chladni plates": http://www.physics.montana.edu/demonstrations/video/3_oscillationandwaves/demos/chladniplates.html For a lecture I'm supposed to prepare, and I'm looking for information on how exactly a two-dimensional surface vibrates under forced...

I desperately need some help with sketching cylinders and quadratic surfaces. We did this in first year and I understood it then but now that I look at it, I have no idea where to start. Oh and yes I have been into talk with my ta quite a few times but I still don't quite understand; I'll go...

Hello. My textbook says that a Gaussean surface must be carefully chosen so that a point charge (or point charges constituting a discrete charge distribution) does not lie ON it, as otherwise the electric field at the location of the charge would be infinite and hence, it would not be possible...

I looked through some books and couldn't find how to find curves of intersection between surfaces. My question asks: explain why the curvature between surfaces z=x^2 and x^2+y^2=4 is the same of intersection between the surfaces z=4-y^2 and x^2+y^2=4. please help i feel really dumb right...

Hey all, I'm a bit confused over an experiment in which we mapped Equipotential Surfaces to then use to draw Electric Field lines using electrodes placed into water to act as a dipole. Along with this, we also had to place a circular conductor and insulator (both uncharged) into the water as...

Hello everyone I'm confused on this topic. I read about it in the book and it made sense though. The question is: Figure 24-25 shows three sets of cross sections of equipotential surfaces; all three cover the same size region of space. Diagram: http://www.webassign.net/hrw/25_29.gif (a)...

why are they called quadric surfaces?

I've been trying to go through the problems in our assigned textbook, College Physics, but like any other Serway book the material is not in-depth enough for me to be able to solve the problems easily. This one particular problem has got me thinking about how blocks would move across a surface...

Find the volume of the solid region R bounded above by the paraboloid z=1-x^2-y^2 and below by the plane z=1-y The solution to this problem is: V=\int_{0}^{1} \int_{-\sqrt{y-y^2}}^{\sqrt{y-y^2}} (1-x^2-y^2)dxdy -\int_{0}^{1} \int_{-\sqrt{y-y^2}}^{\sqrt{y-y^2}}(1-y)dxdy I thought that...

I wonder if i could compute resultant E-fields using Gauss' law and finding the field from the flux. I have a few difficulties, the first is of course, finding the E-field from the flux and the second is regarding the closed surface. how should i choose what surface to use, especially if the...

Hello, New to chemistry need help with this question and I don't understand what a nodal surface is How mnay nodal surfaces are there for a) a 2s orbital b) a 3px orbital If anyone can help me that would be great. Thank you

Hello! This is a question from one of our past exams, and it's had me stumped for the past hour. The question states: The cylinder x^2+y^2=2x cuts out a portion of a surface S from the upper nappe of the cone x^2+y^2=z^2. Compute the surface integral: \int\int (x^4-y^4+y^2z^2-z^2x^2+1)...

Does anybody know any neat measurements one can do to characterise a surface? I'm thinking generally of rough surfaces such as the ones you come across in epitaxial systems. In other words: If I have two ensembles of surfaces, what is the best method to use to determine whether the same...

Hey just need a quick clarification here. I am reading conflicting arguments. One argument states that to find the nodal surfaces of an orbital you take the result of n-1 the other argument states that the number of nodal surfaces of an orbital is equal to n. Can someone please clear this...

[SOLVED] Parametric Surfaces and Their Areas Hello, I am having problems visualizing a concept. First I will post my question as it is given in Jame's Stewart's Fourth Edition Multivariable Calculus text, Chapter 17, section 6, question 17. Find a parametric representation for the given...

black surfaces apparently absorbs all light, that's why it appears black, but does it ever reflect light off its surface? what if its a polished black suface..we could actually see our own reflection on these surfaces.. so is there light being reflected at all? is there any difference from the...

A positive test charge is placed at the center of a spherical Gaussian surface. What happens to the net flux through the Gaussian surface when the surface is replaced by a cube of the same volume whose center is at the same point? or When the sphere is replaced by a cube of one third the volume...

I have a new question: "In applying Gauss's Law describe the types(s) of charge distribution for which (a) a spherical gaussian surface is useful and (b) a cylindrical gaussian surface is useful" please help!

I'm wondering if it is true that any surface can be equated to a weighted sum of a basis of surfaces differring only by genus? I think this is asking whether the path integral formulation for strings is more general. Thanks.

I am in a materials science class and need to come up with a course project. One thing that interested me was in an article that I read in the paper a while back. It was about the development of some kind of coating that could be applied to surface that could render it permanently sterile. I...

I am trying to learn a little bit more about geometry of surfaces and some differential geometry concepts like principal, gaussian an mean curvatures. I have found some interesting material at mathworld.wolfram.com but as usual there is a quantity of little incorrect details. Is anybody...