HW 7 Handout AS USUAL, BE SURE THAT YOUR SOLUTION IS CLEAR AND EASY TO FOLLOW! BE SURE TO SHOW ALL STEPS. 1) Consider a long, current-carrying wire placed on the x-axis, and another long, current- carrying wire lined up 0.21 m above the xy-plane (and so it runs parallel to the y-axis, at 0.21 m on the z-axis: A z 2= 3.1 A = 1.8 A And so the middle of the lower wire on the x-axis is at the origin, and the middle of the upper wire is at (0, 0, 0.21) m. Calculate the force/length that the center of the upper wire feels due to the lower wire

HW 7 Handout AS USUAL, BE SURE THAT YOUR SOLUTION IS CLEAR AND EASY TO FOLLOW! BE SURE TO SHOW ALL STEPS. 1) Consider a long, current-carrying wire placed on the x-axis, and another long, current- carrying wire lined up 0.21 m above the xy-plane (and so it runs parallel to the y-axis, at 0.21 m on the z-axis: A z 2= 3.1 A = 1.8 A And so the middle of the lower wire on the x-axis is at the origin, and the middle of the upper wire is at (0, 0, 0.21) m. Calculate the force/length that the center of the upper wire feels due to the lower wire

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem B.2 Each of the ODES shown below is second order in y, with y1 as a solution. Reduce the ODE from being second order in y to being first order in w, with w being the only response variable appearing in the ODE. Combine like terms. Show your work. B.2.a. xy" –y' +y = 0 Y1 = x* В.2.b. y" + 9у %3D 0 sin(3t) B.2.c. x²y" +y = 0 Y1 = x²/3
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Exercise b. Hard spin glasses.Physicists use a model called an Ising spin glass to study magnetic materials. We havea graph G = (V, E) and a function J : E → Z, where J(u, v) is the interaction strengthof edge {u, v} ∈ E. A state is a function s : V → {−1, +1}.1 The energy of a states is H(s) = −P{u,v}∈EJ(u, v) · s(u) · s(v).2 An edge {u, v} is called ferromagnetic ifJ(u, v) > 0, and antiferromagnetic if J(u, v) < 0. Ferromagnetic edges “pressure” uand v to be the same spin, and antiferromagnetic edges “pressure” them to be different.We wish to find the ground state, i.e., values of s(u) for each u ∈ V that minimize theenergy. Phrased as a decision problem, we ask whether a state exists below a certainenergy threshold:Spin-GlassInput: a graph G = (V, E), interaction strengths J : E → Z, and a threshold hˆ ∈ ZQuestion: is there a state s : V → {−1, +1} with H(s) ≤ hˆ?Show that Spin-Glass is NP-complete.1Each s(u) is called the spin of u; if u is a magnetic domain, think of s(u) as…