Ring Definition and 1000 Threads

how to calculate induced emf in split ring resonator SRR of Metamaterial. what are the values of inductance capacitance & resistance of SRR

Suppose we let R be a commutative ring with identity, and let I be any ideal of R. And we define the RADICAL of I to be the set N(I) = {r \in R: r^n \in I for some positive integer n}. I need the proof that: If I contains a unit of R, then show that I = R. N(N(I))=N(I) An...

Has anyone heard of a permanent magnet in the shape of a ring or toroid with no poles? I believe that one could be made by winding a ring of magnetic material, such as steel, with a wire winding, like one winding of a toroidal transformer. DC current could then be passed through the winding...

The teenager, Ariana Iacono, belongs to the Church of Body Modification. Should "religious" items of clothing and jewelry be forbidden in non-parochial schools? http://news.yahoo.com/s/ap/us_rel_piercing_church

Homework Statement A thin ring of mass M and radius R rotates around its vertical axis. A small ball of mass m can slide, without constraint nor friction, on the ring. If the angular speed of the ring when the ball is at the top is [\tex]\omega_0[\tex], what is the angular speed when the ball...

Homework Statement I need to find the inverse to element in 7 in ring Z_{13} Homework Equations 7^-1 in Z_{13} The Attempt at a Solution Needs to find X so that, 7x=1 in Z_{13} => 7x=1+k*13 And then my notes was messed up :(

Homework Statement "A round plug made of brass has a diameter of 87.53 mm at 20 C. The plug is to be fitted to a steel ring of inside diameter 87.43 mm. To what common temperature must they be brought in order to fit?" The linear coefficient of expansion for brass: \alpha_{b} = 18.7 \cdot...

Homework Statement A thin, circular ring of inner radius a and outer radius b carries a uniform surface charge density \sigma (i) Find an expression for E at a point on an axis perpendicular to the plane of the disk, the axis passes through the centre of the disk. (ii) Keeping the surface...

What caused the ring around the atomic mushroom in Nagasaki?

Homework Statement Using only the ring axioms, prove that in a general ring (R, +,X) aX (x-z) = (aXx)- (aXz) where all a,x,z are elements of R Homework Equations Group axiom 3: G3= There is an inverse for each element g^-1 *g =e Ring axiom 3: R3= Two distributive laws...

Hello everyone I am trying to simulate a three phase AC powered six coil stator ring using Multisim or Orcad. How would I do this? Would I use regular inductors as the coils or would I use coils with iron and steel rods inside them? Would I just connect each inductor coil pole pair...

Hey guys, i have some problems here, i hope you can share some helpful information. it's about shroud ring and clamping ring (support ring) for stator turbine blades. These rings have a thermal deformation behavior (ovalisation), thus dent was found on the ring surface (caused by contact...

Hello. I got this question, it pursues me in my sleep lately. What will happen with a superconducting ring, passed through magnetic field? I mean like will the electrons even flow in it, taking that magnetic field is banned out of the material? And if they flow will the ring need extra force...

If you think of a sphereical symmetric diffraction ring, the intensity is constant for each sphereical section (intensity doesn't vary for theta or phi), but it varies kind of like a sine wave in the r dimension from zero to zero with a maximum in the middle of the ring. So that if you think...

Hello everyone: I am trying to find a program or formula that will help me figure out how many windings, turns of coil, are needed per coil on a 6 coil steel stator ring powered by 3-phase AC power to get a certain magnetic field strength, about 1.3T. Is there any way that you could help me...

Hello everyone: I am trying to find a program or formula that will help me figure out how many windings, turns of coil, are needed per coil on a 6 coil steel stator ring powered by 3-phase AC power to get a certain magnetic field strength, about 1.3T. Is there any way that you could help me...

Suppose we have a necklace made of a conducting material. We join the two ends and leave it on a frictionless non-conducting table. Then we charge it negatively. What is the equilibrium shape of the necklace? The answer to this is probably a circle. I am actually looking for the differential...

Let R be a ring . Suppose that e and f=1-e are two idempotent elements of R and we have R=eRe \oplus fRf (direct sum ) and R doesn't have any non-trivial nilpotent element . Set R_1=eRe and R_2=fRf . If R_1=\{0,e\} and R_2 is a local ring , then prove that R_2 is a division ring . (note that e...

Can anyone give an example of a ring homomorphism f : R -> R', such that R is a integral domain but the Image(f) is not an integral domain. I was thinking that since we want two non zero elements of Image(f) multiply to 0, we require: f(xy) = f(x)f(y) = 0, with f(x), f(y) not 0. Now f(xy) =...

Hello all, I am currently working on a project that requires a stator ring like the ones found in electric motors where there are 2-3phases of electromagnetic coils placed in a circular fashion with a pole pointing towards the center (look at picture below). The coils would be powered by AC...

Homework Statement I have a ring, radius a, with a charge distributed evenly around it. Using a gaussian cylinder of radius r, r<<a (or otherwise). Find the electric field at at small distance r away from the centre of the ring, r is in the plane of the ring. I know that the answer is...

Homework Statement A ring of radius a has a charge distribution on it that varies as \lambda(\theta) = \lambda_{0}sin \theta. a.) What is the direction of the electric field at the center of the ring? b.) What is the magnitude of the field at the center of the ring? The textbook...

Hello all, I am currently working on a project that requires a stator ring like the ones found in electric motors where there are 2-3phases of electromagnetic coils placed in a circular fashion with a pole pointing towards the center (look at picture below). The coils would be powered by AC...

Homework Statement A long bar magnet is bent into the form of a closed ring. If the intensity of magnetisation is M, and ignoring any end effects due to the join, find the magnetic field H and the induction B: (a) Inside the material of the magnet (b) just outside Homework Equations...

Homework Statement how that N is a maximal ideal in a ring R if and only if R/N is a simple ring. that is it is nontrivial and has no proper nontrivial ideals. Homework Equations The Attempt at a Solution I don't know how to start. Please help.

Homework Statement give an example to show that a factor ring of a ring with divisors of 0 may be an integral domain. Homework Equations since we know that ZxZ is a zero divisor and 5Z is an integral domain. The Attempt at a Solution So, ZxZ/5Z =~(isomorphic to) Z/5Z=~ Z_5.

Homework Statement Let S be a simple ring. Show that all nonzero elements of S have equal additive order. Show that this order either is a prime number p or is infinite. The Attempt at a Solution All I could show is that the order of any element x in S must divide that of the unity...

Homework Statement Given a commutative ring with unity, show that if every ideal is prime than the ring is a field. Homework Equations The Attempt at a Solution I think that I can show that a ring is a field iff it has no nontrivial ideals. So I guess I need to show that if a...

Let R be an ordered Ring. Assume R+ is well-ordered Prove: a) min(R+) = 1. b) R is an integer ring

Let R be a non-commutative ring . Suppose that the number of non-units of R is finite . Can we say that R is a finite ring?

Homework Statement Show that a+b = b+a follows from the other ring axioms. Homework Equations a + 0 = 0 + a = a (?) The Attempt at a Solution I know this is probably a simple algebraic manipulation, probably with the distributive law, but I don't know how to start! I'm sure I need...

Homework Statement Problem 3.5.2 Let R be a ring such that the only right ideals of R are (0) and R. Prove that either R is a division ring or that R is ring with a prime number of elements in which ab = 0 for every a, b \in R. Homework Equations The Attempt at a Solution...

1. Homework Statement Derive and show that the period for a thick ring would be T=2π√[d/g+(ΔR)^2/4Rg] 2. Homework Equations "the ring pendulum consists of a thin metal ring that can be suspended from a knife edge. The ring has inner radius Ri and outer radius Ro. A notch is cut...

1. Homework Statement Derive and show that the period for a thick ring would be T=2π√[d/g+(ΔR)^2/4Rg] 2. Homework Equations "the ring pendulum consists of a thin metal ring that can be suspended from a knife edge. The ring has inner radius Ri and outer radius Ro. A notch is cut...

Homework Statement Derive and show that the period for a thick ring would be T=2π√[d/g+(ΔR)^2/4Rg] Homework Equations I'm not sure... The Attempt at a Solution Obviously, delta R means the difference between Ri and Ro would be considerable. So ΔR=Ro-Ri. Then Ro=R+ΔR/2 and...

I'm looking for help understanding the coordinate ring. The definition I have roughly says There is a surjection PI:k[t_1 , ... , t_n] ---> k[X] given by restricting a polynomial to X, where X is an algebraic set. Then k[X] is called the coordinate ring. As i understand it all...

Let R be a ring with multiplicative identity 1R. Suppose that R is finite. The elemets xy1, xy2,...xyn are all different. So x y_i=1R for some i. A lemma that is not proven is given. If xyi=1R & yjx=1R, then yi=yj I need to show that yjx=1R. Right now I haven't got much. I took...

Homework Statement Proof that there is no ring homomorphism between M2(R) [2x2 matrices with real elements] and R2 (normal 2-dimensional real plane). Homework Equations -- The Attempt at a Solution I have tried to proof this problem with properties of ring homomorphism (or finding...

Can anyone explain, in detail, why/why not Z[X]/(2x) is isomorphic to Z/2Z? I know that every element in Z[x] can be written as a_0 + a_1 x + a_2 x^2 + ... with a_i in Z and only finitely many a_i's are nonzero. Now, does (2x) = (2, 2x, 2x^2,...)? Also, the quotient is "like" taking 2x=0, or...

the problem is stated as The Earth’s magnetic field at a certain location in the UK has a magnitude of 48 μT and is directed at 66° below the horizontal. a)Determine the magnitude of the flux of the Earth’s magnetic field through a wedding ring of diameter 2.2 cm when the ring is held in a...

Homework Statement the molecular formula of the compound under analysis is C8H8O2 = Mr of 136 the mass spectrum shows the peak at 91 to be the most stable. I'm supposed to obtain structures representing the peak at 91 as well as at 118 and 65 The Attempt at a Solution I represented 91...

Let R be a commutative ring with unity. I and J are ideals of R. Show that If I + J = R, then I∩J=IJ. I know that IJ⊆(I∩J). But I can't do inverse.

I was in the French Alps the other day, high in the mountains (not sure if this is relevant), and, on the night of a full moon, with mist in the sky, there was a circular ring of light around the moon. The ring subtended an angle about 5 times that subtended by the moon (that is to say, it...

let R be a non-commutative ring and D(R) denotes the set of zero-divisors of the ring . Suppose that z^{2} =0 for any z \in D(R) . prove that D(R) is an ideal of R.

Homework Statement A plano-convex lens having a radius of curvature of r = 4.00m is placed on a concave glass surface whose radius of curvature is R = 12.0 m. Determine the radius of the 100th bright ring, assuming 500-nm light is incident normal to the flat surface of the lens. Homework...

Let R be a ring with 1_R. If M is an R-module that is NOT unitary then for some m \in M, Rm = 0. I'm pretty sure Rm = \{ r \cdot m \mid r \in R \}. While M being not unitary means that 1_R \cdot x \neq x for some x \in M. I'm thinking this problem should be an obvious and direct proof but I...

let R be a matrix ring over a finite field \LARGE F_{q} , i.e. \Large R=M_{n}(\LARGE F_{q}). then 1.Every matrix of rank n-1 in any maximal left ideal generates the maximal left ideal. 2.moreover,the number of matrices in every maximal left ideal that can be a generator is the same as the...

1) R is an integral domain and P is a prime ideal. Show R\P (R complement P or R-P) is a multiplicative set. -Well since R is an integral domain it contains 1. -{0} would be a prime ideal, and that was removed (is this too much to assume) I'm not sure how to show multiplication is...

Homework Statement Consider a charged ring of radius 20.6 cm and total charge 12 nC. We are interested in the electric field a perpendicular distance z away from the center of the ring. At what distance from the center of the ring does the electric field become maximum? Hint: The...

hi guys, just want to ask, an open loop has three points A,B, C and each point serving a load. there is only one source (a subtransmission 69kV line from a substation), connected at point A. The loop is open at line segment AC (the circuit breaker at point C, connecting the segment AC is...