Ring Definition and 1000 Threads

Homework Statement what is the electric potential a distance x above the center of a ring of charge Q with a radius R surrounded by another ring of charge -Q with a radius 2R? Homework Equations V= kQ/sqr root(a^2+x^2) The Attempt at a Solution I know the above equation would be...

I was trying this mental exercise and I need help and confirmations... so please launch your comments Imagine (as an assumption) that the surface of the Earth is completely flat with no disturbances. A perfect sphere. Imagine that is possible to build a solid ring made of a completely...

Ring of Charge--how to maximize the Electric Field A thin nonconducting rod with a uniform distribution of positive charge Q is bent into a circle of radius R. The central perpendicular axis through the ring is a z-axis, with the origin at the center of the ring. (c) In terms of R, at...

Hi I'm trying to build a permanent magnet alternator with a different approach than usual. Most PMAs have a ring of magnets alternating north and south. But I'm wondering what would the field lines look like if ALL the magnets faced one direction? Would it provide a useful magnetic field, or...

Homework Statement f:A->A/I is a ring homomorphism. Does f^-1 take maximal ideas of A/I to maximal ideals of A?The Attempt at a Solution I think it does, since there is a bijection between A and A/I preserving subsets-ordering. But f might not be that bijection.

Why does Saturn's dust form a flat ring and not a sphere around it?

1. A point charge Q is held in the center of a charged ring. Half of the ring is charged uniformly with charge 2Q and the other half with 4Q. When the point charge is released, it accelerates toward infinitum. What is the ultimate speed of the point charge? 2. Homework Equations [E=F/q]...

Homework Statement A thin rubber ring of radius R lies in the xy-plane and is centered at the origin. The ring carries line charge density λ=λo*sin(Ø), with a constant λo with units C/m. define tan(Ø)=y/x. Calculate the magnitude and direction of the electric field E(z) created by the ring...

Homework Statement Hi guys, this question is from Kleppner and Kolenkow, problem 6.3. A ring of mass M and radius R lies on its side on a frictionless table. It is pivoted to the table at its rim. A bug of mass m walks around the ring with speed v, starting at the pivot. What is the...

There is a metal ball and a metal ring , through which the metal ball can pass easily. But when the metal ball is heated , it can't pass through the metal ring. What will happen if metal ring is heated?(keeping metal ball normal)

Homework Statement Homework Equations E=\frac{kqz}{(z^2+r^2)^{3/2}} The Attempt at a Solution (c) is asking where the maximum value of the electric field would be in terms of R. In order to do this, I have to take the derivative of this function, set it equal to zero, correct...

Homework Statement Determine both the location and the maximum magnitude Emax of the electric field along the axis of a uniformly charged ring. (Use epsilon_0 for ε0, Q, and a as necessary.) Homework Equations 1) dE= (ke)dq/r^2cos(theta) cos(theta)= x/r...

How fast are the electrons and the ions in the Ring Current (in the magnetosphere?)

Is it a huge daunting engineering task to create a very large dynamic o ring water seal (sliding up and down a shaft with ring on a mating surface) say about 50 or 100 meters in diamter? Would it be a good idea to make the ring and moving part a cube like shape so as to have a square seal...

I am very mystified by how piston and piston rings work (obviously they do). My questions are related but are in 3 parts: 1. What is highest pressure of the gas/liquid in a particular piston? (race car engine, construction machines...) and what is the approximate pressure in Kpa? 2. With...

Homework Statement A charge Q = - 710 nC is uniformly distributed on a ring of 2.4 m radius. A charge q = + 350 nC is placed at the center of the ring. Points A and B are located on the axis of the ring, as shown. In Figure below, an electron is projected along the axis of the ring from...

why there is no magnetic lines of force through soft ring placed in a magnetic field ??

this is the second part of a 3 part question the first part was: A uniform circular ring of charge Q=4.40 microCoulombs and radius R=1.30cm is located in the x-y plane, centered on the origin as shown in the figure. What is the magnitude of the electric field E at point P, located at z=3.30...

Can anyone explain how to relate the bunch length and energy spread of a bunch in an electron storage ring to the longitudinal emittance? Also, if you know of a good reference I could use to look up more information I would really appreciate it. Thanks!

Homework Statement See here: http://www.jyu.fi/kastdk/olympiads/ (year 2008, theoretical question set 2, question 2) Let us consider a beam of particles moving with velocity v>c/n, such that the angle θ is small, along a straight line IS. The beam crosses a concave spherical mirror of...

Can you consider a benzene ring to also be an alkene? As in, there are double bonds within the benzene ring.

Homework Statement In the ring Z[\sqrt{-3}] find all units and prove that 2 is irreducible but 7 is not. Homework Equations The Attempt at a Solution Well a unit is a non-zero element of the ring that when multiplied by some other non-zero element of the ring gives the unity of...

Hello all, I am trying to work on some Ring Theory proofs and my Abstract Algebra is very minimal as I have not taken the class but need to look into it nonetheless. If anyone can figure these out for me I'd greatly appreciate it. Also, I am familiar in LaTeX typesetting but I don't know...

This is about the electric field of a ring with radius r, at a distance z from center, along the axis of the ring. The ring carries a uniform line charge \lambda. We always say that the radial component of the field cancels out due to symmetry. Can somebody tell how to prove it mathematically...

Question: Can someone explain the following to me: "... the entries of the matrix A - tI_n are not scalars in the field F. They are, however, scalars in another field F(t), the field of quotients of polynomials in t with coefficients from F." I asked someone earlier today, and I got an...

I had someone telling me about drilling small holes, down from the piston crown into the small space "behind" the top piston ring, purportedly to allow the combustion pressure to get into that space and force the ring out against the cylinder wall. The theory is that the gap between the top...

Homework Statement Find all ideals I of Z mod 18Z. Then find what (Z mod 18Z)/I is isomorphic to for every ideal I. The Attempt at a Solution We know that the whole ring and {0} are ideals. since Z/18Z is not a field there are more. So are Z/nZ where n is a divisor of 18, all of them?

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How would I find the center of mass (COM) for a ring of variable density, where the variation in density can be described by a continuous mathematical equation. The density at each location along the ring is described by a function (d) whose independent variables are radius (r) and angle...

Prove that the group ring ZpG is not a domain. Homework Statement Let G be a finite group and let p >= 3 be a prime such that p | |G|. Prove that the group ring ZpG is not a domain. Hint: Think about the value of (g − 1)p in ZpG where g in G and where 1 = e in G is the identity element of...

Let's assume the case for metallic ring that possesses a net negative charge within. To generate a magnetic field, the field generated by negative charges should not be canceled out by the positive charge. There are two ways to do this: 1) Move only the electrons. 2) Move the electrons with the...

basically what i need is to find the area of the ring the with is dr and the radius is r so pi*(r+dr)^2 - pi*(r)^2 so why the dA is that simple expression?? http://www.freeimagehosting.net/image.php?cce537487f.gif

A ring is connected to disc with a shrink fit connection. The disc and ring rotate about an fixed axis with an angular velocity w. The first question of my assignment was to calculate the radial and tangential stress in the disc and ring. This is no problem, because you can calculate the...

Hi, I need to find the dimensions for O ring grooves for different size o rings, for static, dynamic and face sealing. Does anyone have a web link for these for BS and/or ISO metric dimensions. All the ones i can find are subscription ones. Many thanks Ed

Homework Statement Let f(x) = x2 + 1 in Z3[x]. Find the order of the quotient ring Z3[x]/<f>. Homework Equations The Attempt at a Solution Note Z3 is a field. Then Z3[x] is euclidean domain. Then for any polynomial g(x) can be written as g(x) = p(x).(x2+1) + r(x) where...

Circular Motion! Homework Statement A bead of mass m moves on a smooth circular ring of radius a which is fixed in a vertical plane. Its speed at A, the highest point of its path, is v and its speed at B, the lowest part of its path, is 7v. a) show that v= [square root](ag/12) b) find...

Homework Statement a) If A is an ideal of R and B is an ideal of S. Show that A x B is an ideal of R x S. b) Show that every ideal C of RxS has the form C = AxB as in(a) [hint: A = { a in R | (a,0) in C}] The Attempt at a Solution a)Since A and B are ideal of R and S, aR and Ra...

Homework Statement Find the potential at off-axis points due to a thin circular ring of radius a and mass M. Let R be the distance from the center of the ring to the field point and \theta be the angle between the line connection the center of the ring with the field point and the axis of...

Homework Statement http://img15.imageshack.us/img15/3462/poth.th.jpg How can I find the potential at the point p above? Homework Equations The Attempt at a Solution I really have no idea where to start at

Homework Statement Determine both the location and the maximum magnitude Emax of the electric field along the axis of a uniformly charged ring. (Use epsilon_0 for ε0, Q, and a as necessary.) Homework Equations dE= k_edq/r^2costheta costheta= x/r The Attempt at a Solution i think...

Almost every girl I ask says that you should spend 2 months salary, but most would prefer 3. Almost every guy I ask says that they would prefer to only spend 1 month to 6 weeks salary MAX. To me it seems silly for couples to gain so much debt for a piece of jewelry. Wouldn't it be...

Design a digital ring oscillator using logic inverters that have propagation delay times of tPLH = 28ns and tPHL = 42ns. The Attempt at a Solution I'm using a general ring oscillator design using 3 CMOS inverters like this...

Homework Statement Let D be a class of sets of space X. There exists a unique smallest ring, R, containing D The Attempt at a Solution I'm working on the existence part. If D were finite, I think that it would be possible to use set differences to find a set, D', of smaller sets...

Homework Statement Show that the complex conjugation function f:C----->C (whose rule is f(a+bi)=a-bi) is a bijection Homework Equations A function is a bijection if it is both injective and surjective a function is injective if when f(a)=f(b) then a=b a function is surjective if for...

A 13.4 cm radius thin ring carries a uniformly distributed 14.8 microC charge. A small 8.2 g sphere with a charge of 2.4 microC is placed exactly at the center of the ring and given a very small push so it moves along the ring axis (+ x axis). How fast will the sphere be moving when it is 1.8...

Hello, Does anyone have any suggestions on how to approach torsion of a thin-walled thin ring/oval? so if this is a top view of the ring: O then the torque would be applied with the torque vector pointing as O--> (ring is fixed at the opposite end).

One thing I’ve always found a bit of a curiosity is how a rapidly rotating star might collapse to a ring singularity relative to the speed of light and what the final parameters of the ring singularity might be (i.e. reduced circumference considering r=0 at the ring edge). Due to the...

Homework Statement For the rings Zn and Zk show that if k|n, then the function f: Zn to Zk s.t [x]n --->[x]k for all x in Zn is a ring morphism. Show this is the only ring morphism from Zn to Zk. The attempt at a solution So I showed it is a ring morphism by just verifying the...

Hello! I would like to know how to calculate the stress in a ring that is mounted on a solid steel shaft. The shaft and ring is rotating at a couple of 100 rounds per minute up to a 1000 rounds per minute. The density for both materials are know, the geometry is know and material...