Ring Definition and 1000 Threads

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 A thin ring of radius x carries a charge Q uniformly distributed around it. Sketch garphs showing how the potential and the field vary along the axis (y) from its centre. A small dipole of strength p is placed at the centre of the ring so as to point alonf th axix (going...

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...

Homework Statement The figure shows an insulating ring and an infinite straight wire resting on the surface of an infinite plane. The wire is fixed in position, but the ring slides without friction on the surface of the plane. The ring is uniformly charged, with net positive charge Q...

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).

am working with annular capacitors one plate is at +'ve potential , other at -'ve , i have guard ring for both the plates , i have connected the guard ring to ground, capacitance is not varying much cause of external disturbances. now what happens to the capacitance ? will it increase or...

"Ring"-singularity (Determinant of the Kerr metric) My problem is as follows: "Calculate the determinant of the Kerr metric. Locate the plac where it is infinite. (In fact, this gives the "ring"-singularity och the Kerr black hole, which is the only one) I got the determinant to ...

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...

Homework Statement 1. A ring 1.5 m in diameter is pivoted at one point on its circumference so that it is free to rotate about a horizontal axis. Initially, the line joining the support and center is horizontal. a. If released from rest, what is its maximum angular velocity. b. What...

Hello! I want to calculate the stress in a ring that is mounted on a solid shaft due to the difference in temperature. The temperature in the shaft is always higher than the temperature in the ring. The geometry is known, the shaft has a certain diameter and the outer diameter is also...

Homework Statement This is a http://session.masteringphysics.com/problemAsset/1003223/45/14677_a.jpg" of the problem -I know that the direction of the electric field at any point on the z-axis is parallel to the z-axis E = k*q/r^2...

Homework Statement A ring of diameter 7.90 cm is fixed in place and carries a charge of 5.90 \muC uniformly spread over its circumference. How much work does it take to move a tiny 3.80 \muC charged ball of mass 1.90 g from very far away to the center of the ring? Also, What is the...

Homework Statement A charge, Q, is equally distributed in a small wireformed as a circle with radius R. Another charge, q, is placed at a distance R above the midpoint of the circle. What force affects the charge q? Homework Equations F = \frac{Qq}{4 \pi \varepsilon_0 r^2} The...

At first, I don't see any value in the cosmic censorship hypotesis. If ring singularity (RS) is directly observable (interesting how it looks like. Any simulations?) inside the second horizon, why outside we should be afraid to look at that beast? So I started to thing about RS and Jets...

Hello, I am not sure how to set up this integral. Its a little more advanced than I am used too. Any ideas? Consider a thin ring of radius a and mass M. A mass m is placed in the plane of the ring (not in the center!). Determine the gravitational potential for r < a. Find a position of...

Homework Statement Let R be a ring containing two or more elements such that for each nonzero a in R, there exists a unique b in R such that a=aba. Show that R contains no divisors of zero. Homework Equations The ring axioms. The Attempt at a Solution I assumed that R contains...

Another Lagrangian problem: Bead sliding along a horizontal rotating ring Homework Statement A horizontal ring of mass M and radius a rotates freely about a vertical axis passing through a point on its circumference. If a bead of mass m slides along the ring without friction, what is the...

Hello, and thank you VERY MUCH for reading! Homework Statement Let p be a prime number. Let R= Z(p) be the ring defined as followed: Z(p) = {x/y : gcd(y,p)=1} (notice that it's not the ring {0,1,...,p-1}!) I need to characterize all the ideals in this ring, and all of it's quotient...

Let K be a field, \nu : K^* \rightarrow \texbb{Z} a discrete valuation on K, and R=\{x \in K^* : \nu(x) \geq 0 \} \cup \{0\} the valuation ring of \nu. For each integer k \geq 0, define A_k=\{r \in R : \nu(r) \geq k \} \cup \{0\}. (a) Prove that for any k, A_k is a principal ideal, and that...

Homework Statement Given a,b,c in D, with a not 0, we have ab=ac implies b=c. Show that the commutative ring D is an integral domain. The Attempt at a Solution I don't know where to begin with this.