Separation Definition and 476 Threads

Hello, I'm studying for an exam tomorrow and am facing a question I can't for the life of me fathom. " A PP air capacitor is made by using to plates 16 cm squared, spaced 4.7 mm apart, connected to a 12V battery" Find Capacitance, charge on each plate, electric field between plated...

Homework Statement Use separation of variables to solve (x+2y)y'=1 y(0)=2Homework Equations u=2y+x >>I did not know how to start this, so i looked at the back of the book and it said to use that substitution y=(u-x)/2, du=2dy+dx, dy=(du-dx)/2 The Attempt at a Solution so i got the following...

Homework Statement In detail, explain the theory behind the use of chromatography as a a.)separation technique. b.) identification technique. Homework Equations The Attempt at a Solution I know that chromatography can be used as a separation technique and also indetification...

Homework Statement Let C be a closed convex subset of Rn. If y is not in C, show x* in C is the closest vector to y in C if and only if (x-y)(x*-y) >= ||x* - y||2 for all x in C. Homework Equations Theorem. Suppose that C is a convex set in Rn and that y is a vextor in Rn that is not in C...

a) Show that the Hamiltonian for the quantum harmonic oscillator in 3D is separable, b) calculate the energy levels.----a) If it's separable H = H_x + H_y + H_z, so do I just re-arrange the kinetic and potential terms of the Hamiltonian in this case? that seems kind of trivial, as if I'm...

Homework Statement Alpha particles of kinetic energy 9.6MeV are incident on a silver foil of thickness 7.0 micro meters. For a certain value of the impact parameter, the alpha particles lose exactly half their incident kinetic energy when they reach their minimum separation from the...

Understandably so, certain isotopic separation techniques are going to be sensitive (U-235, U-233, Li-6) because of their relationship to nuclear weapons. Would any other isotopic separation techniques fall under the wing of any regulating agency in the United States (NRC, NNSA, etc.)? For...

Homework Statement Solve the given differential equation by separation of variables. Homework Equations \frac{dy}{dx} = \frac{xy + 2y - x - 2}{xy - 3y + x - 3} The Attempt at a Solution \frac{dy}{dx} = \frac{xy + 2y - x - 2}{xy - 3y + x - 3} = \frac{(x + 2)(y - 1)}{(x - 3)(y + 1)} (x -...

Homework Statement Solve the problem. utt = uxx 0 < x < 1, t > 0 u(x,0) = x, ut(x,0) = x(1-x), u(0,t) = 0, u(1,t) = 1 Homework Equations The Attempt at a Solution Here is what I have so far but I'm not sure if I am on the right path or not. u(x,t) = X(x)T(t)...

Please have mercy on my non-mathematical mind... I am struggling so hard with Differential Equations. This is my third time to take the class and I still feel like I am walking through the woods at midnight on an extremely dark night. This is the problem that I am working on: dy/dx =...

Homework Statement This is a try for the solution of Laplace Equation. We have to calculate the potential distribution in a cylinder coordinate. However, there is a step really bring us trouble. Please go to the detail. You can either read it in the related URL, or in my PDF attachment...

Homework Statement A car and a truck are heading directly toward one another on a straight and narrow street, but they avoid a head-on collision by simultaneously applying their brakes at t=0 . The resulting velocity-versus-time graphs are shown in the figure . What is the separation...

Homework Statement One particle has a mass of 3.00 \times 10^{-3} kg and a charge of +8.00 \mu C. A second particle has a mass of 6.00 \times 10^{-3} kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation...

If I am using vortex generators in an attempt to delay diffuser separation what would the consequence be of the vortex generators stalling? For instance if I set them at and angle of attack to the flow that was past the stall point.

this may seem like a simple question but how does one know that separation of variables for solving linear PDE's will work. What i mean is that it seems to pick out a form of the solution to a given problem (I have heard that linear PDE's have an infinite number of functions of a particular...

Since I first leaned of the concept of social networks it has fascinated me but I never really studied the topic. It seems to me a huge topic but is not widely studied compared to other areas of mathematics. What better way to study such things as the spread of information, political views...

\int^{B}______________{A}\int^{\infty}_______________{0}\frac{t^{N-1}x^{s-N-1}dtdx}{e^{t+x}+1} With the restrictions that that B>A, 0<Re(s)<1 and N is a natural number>1. I think t=ab and x=a(1-b) would work, but I'm not sure how to go from there. I don't need to solve the integral; just...

Does anyone know of a way to calculate the point at which flow separation occurs?

Homework Statement Solve the heat flow problem using the method of separation of variables: Homework Equations PDE:\frac{\partial u}{\partial t}=k\frac{\partial^{2} u}{\partial t^{2}} for 0<x<L, 0<t<\infty BC's:\frac{\partial u}{\partial x}(0,t)=0,\frac{\partial u}{\partial x}(L,t)=0...

Hi all, For my thesis I would like to solve the following second order nonlinear PDE for V(x,\sigma,t): \frac{1}{2}\sigma^2\frac{\partial^2 V}{\partial x^2}+\frac{1}{2}B^2\frac{\partial^2 V}{\partial \sigma^2}+a\frac{\partial V}{\partial \sigma}=0, subject to the following boundary...

Homework Statement Hi, I don't really understand separation of variables very well, and I was hoping to do get my mind more clear on the following question: (Q) Use separation of variables to find all the separable solutions of the equation: d²y/dt² -c²(d²y/dx²) + w²y = 0 where 'w'...

Homework Statement The green line of gaseous mercury at 546nm fals on a double-slit apparatus. If the fifth dark fringe is at 0.150 degree from the centerline, what is the slit separaton? Homework Equations d sin (theta) = m* lambda The Attempt at a Solution ok i used the...

So my book says that to solve a PDE by separation of variables, we check the three cases where λ, the separation constant, is equal to 0, -a^2, and a^2. But in this particular problem, instead of substituting λ=0, λ = a^2, λ= -a^2, they substitute the entire coefficient of X, (λ-1)/k =0, (λ-1)/k...

Homework Statement (a)What is the mean free path for oxygen molecules at 300K and atmospheric pressure (105 Pa) and the average frequency of collisions for a particular molecule? (The diameter of an oxygen molecule is 0.29 nm). (b)What is the mean free path of oxygen molecules at an...

I have a question in which we are instructed to find the separation distance between the two impact zones of Sodium atoms on a photographic plate: A magnet of length l= 0.15m and field gradient \nablaB= 9.0T/m over its full length is used in a Stern-Gerlach experiment. If a beam of Sodium...

Homework Statement Calculate the separation energy between the lowest and the highest energy state for a spin 5/2 particle with a magnetic moment 0.7 Bohr magnetons in an external magnetic field of 1.35 T Homework Equations delta E = bohr magneton*B*delta magnetic spin OR Equation for...

To solve a separable ODE like this I would simply multiply each side by dx and then integrate both sides. However, I know that it is only notational convenience that allows me to do this, and what's really going on is slightly more complicated. Take this DE for example...

Homework Statement Knowing that the wave function of the hydrogen atom is proportional to e-r/a0, estimate how t depends on the proton proton separation d. I need just to make a drawing of the integrand and make a reasonal approximation using my intuition (no numerical methods allowed to...

Homework Statement fringes are observed when a parrallel beam of light of wavelength 500nm is incident perpendiculary onto a wedge-shaped film with an index of refraction of 1.5. What is the angle of the wedge if the fringe separation is 1/3cm? Homework Equations t(x)=xtan(theta)...

Good day, I have to separate the variables of the formula (dy/dx) + 1 = - (y/x) so I can determine the solution of the differential equation. I get: (dy/dx) + 1 = - (y/x) (dy/dx) = - (y/x) - 1 (dy) = (- (y/x) - 1)dx Though I cannot get rid of the y at the side of dx...

For those who have the book, in corollary 19.6 page 234 of Bredon, the Jordan-Brouwer separation theorem has just been proven and so we know that if S is homeomorphic to S^(n-1), then S^n\S has two connected components, which are open in S^n and their boundary is S. So we let V be one of the...

Homework Statement the question is:calculate angular separation between 1st order red and 1st order violet.data given:theta=22,d=1.20x10^-6 Homework Equations theta=a/D ( is that the 1?) and if it is dn what would the function be hmm tan? (isnt it related to stellar distances) The...

Homework Statement Two protons that are very far apart are hurled straight at each other, each with an initial kinetic energy of 0.19 MeV, where 1 mega electron volt is equal to 1106 (1.610-19) joules. What is the separation of the protons from each other when they momentarily come to a...

Suppose that a binary-star system consists of two stars of equal mass. They are observed to be separated by 350 million {\rm km} and take 5.4 Earth years to orbit about a point midway between them. I got 1.1x10^29 as my answer, but it is incorrect. Can anyone help me out?

Hi, I am new to the forum. I've encountered a couple problems with separation of variables in cylindrical coordinates. Problem #1: a clindrical surface of radius R is oriented along the z-axis, and is split into two conducting half-cylinders. The potential satisfies the...

Electromagnetism just got weird. REALLY weird. Everything was going great until we hit this new chapter on separation of variables. I don't remember doing this kind of stuff in my DiffEqs class. Frankly, I'm feeling overwhelmed. I have a midterm at the end of this week, and I feel as though...

Hello, I have the following problem with respect to fluid mechanics: A source of strength Q is in a 3D space and subjected to a parallel flow U along the x-axis. The position of the source is at (xq,yq,zq). This will lead to the following velocity potential in cartesian and cylindrical...

Hello, I am looking for a technique to separate the sediments (Greywacke) which have been deposited on & in some mineral crystals, which are from an alluvial source. I have tried immersing them in ethanol, which has helped a lot but not 100% efficient... as some of the microscopic grains have...

Hello If you had an aqueous solution of phosphates, nitrates and nitrites, how could you separate them? Also, if not answered above, how could you separate a solution of just nitrates and nitrites? thank-you for you're time

Homework Statement There are six object. First five are the same and carrying charge Q, the last one is uncharged. Let the first object touch with the second one, the uncharged one obtain x unit of charge. What 's the total charge will the last object get if we let the rest four objects...

"A sphere of homogeneous linear dielectric material is palcced in an otherwise uniform electric field E. Find the electric field inside the sphere." Griffiths uses separation of variables to solve laplace's equation in the interior of the sphere. I have two questions. (1) How can you try...

Ideally, should we only allow athiest to hold public office? This way assuring the separation of church and state? (I was going to use the poll option but it doesn't seem to be working).

I was watching Law & Order and I realized a blatant violation of the separation of church and state. (1) When you swear to tell the truth, you put your hand on a bible. (2) When you talk to a preist, they are legally allowed to not repeat what you told them in confession, even if you...

Homework Statement Solve the 2-D time-independent Schrödinger equation with V (x,y) = 0: Homework Equations -ћ2/2m ( ∂2Ψ(x,y)/∂x2 + ∂2Ψ(x,y)/∂y2 ) = EΨ(x,y) The Attempt at a Solution I started by getting -ћ2/2m to one side: ( ∂2Ψ(x,y)/∂x2 + ∂2Ψ(x,y)/∂y2...

Hi, I have a question about separation of solid mixture by extraction. so how can you tell what reacts with what and which layer contains what? k for example, if you have a mixture of phenol and salicylic acid, first the mixture is dissolved in diethyl ether... then the solution is mixed with...

There is a spaceship in low-earth orbit, at 2000km above the surface of the earth. There are two balls in the spaceship that are dropped. The balls are 1m apart. How long will it take for their separation to increase to 1.01m? Assume that one ball is at 2000km, and the other is at 2000km+1m...

when separating mixtures using only physical methods, does the order in which you separate them mater? for example, if i had had urea and napthalene in the mixture...both are water soluble...so to take the urea out i first take out the napthalene through sublimitation and then the urea...

Homework Statement so here's my equation: dy/dx=(xy+3x-y-3)/(xy-2x+4y-8) so what i did first was factor out the right side =(x+1)(y-3)/(x+4)(y-2) then i did a bunch of manipulation to get the ys on one side and the xs on another (i won't write this out right now but if anyone...

One particle has a mass of 3.00 10-3 kg and a charge of +7.80 µC. A second particle has a mass of 6.00 10-3 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.100 m, the speed of the 3.00...

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