Ring Definition and 1000 Threads

A uniformly charged ring of radius 10.0 cm has a total charge of 58.0μC. Find the electric field on the axis of the ring at the following distances from the center of the ring. (Choose the x-axis to point along the axis of the ring.). I know the equation I want to use is E=...

Homework Statement A ring of radius R lies in the x-y plane with the center at the coordinate origin. The ring is uniformly charged with with a uniform charge density +λ. a) Charge +q is brought along the z-axis from -∞ to the center of the ring. What is the increase in total potential energy...

Homework Statement Two charged beads are on the plastic ring in Figure (a). Bead 2, which is not shown, is fixed in place on the ring, which has radius R = 63.3 cm. Bead 1 is initially on the x axis at angle θ = 0o. It is then moved to the opposite side, at angle θ = 180o, through the first and...

Homework Statement A thin ring (radius r = 1.41 cm) carries a charge Q = 8.57 pC distributed uniformly along its length. The ring lies in the y-z plane, so the axis through its center is the x-axis . A small detector is moving along the positive x-axis toward the ring at velocity v = -0.543i...

I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I need help to get...

I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I need help to get...

Homework Statement Find the electric potential of a ring of radius R that is charged uniformly with a linear charge density λ. Homework EquationsThe Attempt at a Solution I wasn't sure which section to post this in but I finally landed here. It isn't really a problem that I'm troubled solving...

I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I need someone to help me...

I am reading Joseph J. Rotman's book: A First Course in Abstract Algebra with Applications (Third Edition) ... I am currently studying Section 7.1 Prime Ideals and Maximal Ideals ... ... [FONT=Times New Roman][FONT=Times New Roman]I need help with understanding an aspect of the proof of...

why the width of dark ring decreases as we go away from the center in Newton's rings experiment?

Hi Everyone , Can anyone explain why I am getting negative result with a large Neodymium N35 ring Magnet ? Br: Remanence field, independent of the magnet's geometry z: Distance from a pole face on the symmetry axis D: Thickness (or height) of the ring Ra: Outside radius of the ring Ri...

And lo, after 40 days and 40 nights of rain, a ball of fire in the sky did appear, and after it, a shimmering black velvet curtain of night. Ring nebula: 100% crop and (nearly) full frame: Deets: 800/5.6, 10s ISO 2000 exposures (total integration time 56 minutes). This is the first time...

Homework Statement A ring with radius R has a constant current and is rotating around a diameter with constant angular velocity omega. 1)Calculate the radiation fields far from the ring. 2)What's the direction of the polarization for an observer along the axis of rotation? 3)What are the...

I am reading Joseph J.Rotman's book, A First Course in Abstract Algebra. I am currently focused on Section 3.4 Homomorphisms (of Rings) I need help with the proof of Theorem 3.33 ... Theorem 3.33 and the start of its proof reads as follows: https://www.physicsforums.com/attachments/4529 In...

Can you check my Work or mention a link for a proof. Let $R$ be Noetherian ring. Then if $M$ is a maximal ideal in $R$. Prove that $M^2 \ne M$. Proof: Since $R$ is Noetherian ring then $M$ is finitely generated. Thus $M = (a_1, a_2 , \cdots, a_k)$ we can choose the $a_i's $ which are minimal...

Homework Statement Find the magnetic field at position z (z=0 in the plane of the ring) along the rotation axis for a circular ring of radius r, carrying a uniform linear charge density λ, and rotating about its axis with angular velocity ω. Homework Equations I=q/t ω=2πf f=1/period...

Just a question originating from pure curiosity. But what would happen if we had a large ring in outer-space, akin to the ring world in the game "Halo", so massive that it's minutes from collapsing into a black hole. If it were to uniformly gain mass on all parts of its structure, how...

Homework Statement A smooth hoop of mass M with 2 beads of mass m each hangs from the ceiling. at t=0 the beads are released from the top and they start sliding down. What is the mass range M/m for the ring to rise as the beads fall. Homework Equations Friction force: ##f=mg\mu## The Attempt...

Hi, I am working as a design engineer. I am new to pressure seal bonnet Valve design. In that valve concept we are using a ring called as Retaining ring. The purpose of this ring is to withstand the entire force acting on the bonnet due to is working pressure. Now i want to know how to calculate...

Hi, I am working as a design engineer. I am new to pressure seal bonnet Valve design. In that valve concept we are using a ring called as Segmental ring. The purpose of this ring is to withstand the entire force acting on the bonnet due to is working pressure. Now i want to know how to...

Hello all- This is a logistics question asking for some guidance, rather than one requiring scientific explanation. I'm currently in a battle of sorts with a friend to record the longest spinning ring possible (like a wedding ring). Basically, spin the ring on a table and time it until it...

I am reading Paolo Aluffi's book, Algebra: Chapter 0. I am currently focused on Chapter III, Section 2: The Category Ring. I need some help in getting started on Problem 2.15 in this section. Problem 2.15 at the end of Chapter III, Section 2 reads as follows: I would welcome some help in...

I am reading Paolo Aluffi's book, Algebra: Chapter 0. I have a question related to Aluffi's description of initial objects in the category ring ... ... In Chapter III, Section 2. on the category ring, we read the following: QUESTION 1 In the above text, we read the following: " ... ... This...

When we drop a coffee droplet and wait for it to evaporate, there is a coffee ring left. Because there is coffee dissolved in the solution, and when water can evaporate into the air, the coffee cannot evaporate and it will stay. Therefore, if we drop one DI water droplet onto the substrate...

Homework Statement Let F be a finite field of characteristic p∈{2,3,5}. Consider the quaternionic ring, Q_F={a_1+a_i i+a_j j+a_k k|a_1,a_i,a_j,a_k ∈ F}. Prove that Q_F is not a division ring. Homework EquationsThe Attempt at a Solution Let α=1+i,β=1+i+j∈QF. Then...

Homework Statement A cyclist with a bell ringing with a frequency of 659.7 Hz drives towards a wall with a speed of 8.15 ms-1. Just before colliding with the wall the cyclist hears beats, due to the bell itself and the reflection of the sound from the wall. What is the frequency of beats...

Homework Statement Three particles, each with mass m = 0.5 kg, are fixed on a uniform circular ring of mass M = 2 kg, radius a = 0.6 m and centre O, to form the corners of an equilateral triangle. What is the moment of inertia of this system? Homework Equations I = Σma2 The Attempt at a...

I'm having trouble conceptualizing the variables involved with this system, and I was wondering if some expertise might make the problem much simpler than I believe it to be. Two massive spherical bodies (Osmium, minimum radius 900km, 5.08m/s^2 surface gravity) orbit each other with a solid or...

Homework Statement A squirrel of mass m runs with a constant velocity v0 relative to the ring of radius R with moment of inertia I. the friction of the ring is proportional to it's angular velocity and is ##M_f=-k\dot{\phi}##. What is the equation of motion relative to the laboratory frame From...

So i have a thin circular ring laying at the XoY plane, inner radius of the ring is a, outer is b, density of electricity is given by expression ρ=ρ0*b/r , where ρ0 is a constant and r ∈ (a,b). I have to find a potential of the point P with coordinates (0,0,z).I tried to do it two ways, but...

I heard that maximum electric potential for charged ring is at its circumference. Is there an expression to find the electric potential at any point on the circumference of a charged ring?

In ring theory, a polynomial over a rings, say ## R[x] ## is presented as an abstract object of the form: ## p(x) = a_{n}x^{n} + ...+ a_{1}x + a_{0} ## where the coefficients ## a_{n}...a_{0} ## are from a ring R with unity and ##x## is a formal symbol. So what is the significance of ## p(x+1)...

Homework Statement A ring of radius R is kept in the xy plane and a constant uniform magnetic field exists of magnitude B in the -k direction (negative z direction ) . It is heated through a temperature T . If the resistance of the ring is R1find the final radius of the ring. Coefficient of...

How do we find out the tension in a rotating ring of density ρ, radius r which is rotating with an angular velocity of ω and area of cross section A? And how do we know that this tension would be constant throughout the ring?

Homework Statement .A ring-shaped conductor with radius a = 0.025 m has a total positive charge Q = 0.125 x 10-9C uniformly distributed around it. The center of the ring is at the origin of coordinates O. What is the electric field (magnitude and direction) at point , which is on the x-axis at...

Homework Statement If you have a ring of charge, is it valid to say lambda = Q/L, or is it lambda = dQ/dL? Homework EquationsThe Attempt at a Solution

Homework Statement Estimate the resistance of a gold (wedding-type) ring. State clearly all assumptions, and introduce any equations you use. your solution should also include a brief summary of how you approached and solved the problem. Helpful tip: You will have to make certain...

Homework Statement A thin circular ring of radius R has charge Q/2 uniformly distributed on the top half, and -Q/2 on the bottom half. a) What is the value of the electric potential at a point a distance x along the axis through the center of the circle? b) What can you say about the electric...

Homework Statement Particle of mass [tex[m[/tex] is confined on the ring of constant radius r_0. Solve Schroedinger equation for this problem. Homework EquationsThe Attempt at a Solution Problem is solved here http://www.physics.oregonstate.edu/~corinne/COURSES/ph426/notes3.pdf Why...

Homework Statement I'm required to design a simple ring oscillator... One with three stages of cascaded cmos inverters using pspice capture(student version) Homework EquationsThe Attempt at a Solution I have simulated the circuit with a 5v supply but all i see is a dc line at 2.50v.has this...

When normalizing a Wavefunction for a particle on a ring why is the normalization only done as dPhi? It's a particle on a ring, so shouldn't it be r*dPhi? This is my thinking, but I do not find other solutions doing this, just ignoring the r part. I understand that for a ring it's just a...

Homework Statement I'm trying to solve for the area moment of inertia of a curved arc. To visualize this, it would be like a bent piece of cardboard (two arcs with two lines connecting them at their end points). I'm modelling the differences in area MOI with an increasingly curved piece of...

Homework Statement A flat ring (inner radius R_0, outer radius 4R_0) is uniformly charged. In terms of the total charge Q, determine the electric field on the axis at points a) 0.25R_0 b) 75R_0 from the center of the ring. [Hint: The ring can be replaced with two oppositely charged...

Hey all, I'm stuck on this problem and not sure how to proceed/if I'm in the right direction. Problem: One reference frame N sits at the origin (inertial frame) while another frame, B, describes a disk rolling on a circular ring about the other frame. Picture below (A) find the direction...

Homework Statement Suppose the charge Q on the ring of Fig. 28 was all distributed uniformly on only the upper half of the ring, and no charge was on the lower half. Determine the electric field \vec {E} at P. Homework Equations [/B] E = k\frac {q} {r^2} The Attempt at a Solution [/B]...

Homework Statement The accompanying figure shows a horizontal ring main consisting of a single loop of pipe, as might be used for supplying water to various points on one floor of a building. Water enters the main at A at 50 psig and is discharged at B and C at rates of 20 gpm and 60 gpm...

Homework Statement Text description: Let V(z) be the potential of a ring of charge on the axis of symmetry at distance z from the center. Obtain the first two non-vanishing terms of the multipole expansion for V(z) with z>>a where a is the radius of the ring. Can you see by symmetry that the...

Homework Statement NUMBER 271 Homework Equations Not Really Sure The Attempt at a Solution No Idea where to start, I looked up the law of Tangents and it seems to do with that. Please help! :) I am also confident that it has to do with equilibrium?

Can someone here help me fill in the gaps of my understanding for this problem? I would appreciate it. **Problem:** If $f(x) \in \mathbb{C}[x]$ is a nonzero polynomial of degree $n$, prove that the ring $R=\frac{\mathbb{C}[x]}{(f)}$ has finitely many distinct ideals. How many distinct ideals...

Homework Statement find the inverse of r in R = F[x]/<h>. r = 1 + t - t^2 F = Z_7 (integers modulo 7), h = x^3 + x^2 -1 Homework Equations None The Attempt at a Solution The polynomial on bottom is of degree 3, so R will look like: R = {a + bt + ct^2 | a,b,c are elements of z_7 and x^3 = 1 -...