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    Quantum Wire and Tunneling

    Hello, I'm having trouble imagining a specific portion of a homework problem. Heres the problem: "Consider a ligand stabilized gold nanoparticle. The gold nanoparticle itself can be considered as “box” and the ligands as the “walls”. If the de Broglie wavelength of the gold...
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    Voltmeter Voltage and Error

    Homework Statement A voltmeter will be used to measure the voltage vA in the circuit below. Assume that the voltmeter has a resistance of 100[ohms] and a full-scale voltage of 20[V]. a) What will the voltmeter read? b) What is the percentage error in making this reading? Homework...
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    Least Squares Fit

    Homework Statement For the following data, find the least squares fit of the given form x=1,2,3,4,6 y=14,10,8,6,5 h(x)=ae^x+be^(-x) Homework Equations The Attempt at a Solution So I tried to linearize the equation by taking the natural log of everything...
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    Quick Question: Matrix added to Differential

    Hey guys, I have a quick question about adding a vector to a system of differential equations. Like U'(t)= Ax+V Say A is a 2x2 matrix and V is a 2x1 vector. Can you all explain how I could handle that V vector? Should somehow include it into A?
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    Inverse of a matrix with an X

    Hi everyone! Homework Statement Find the inverse of the following using row reduction. If it does not exist, indicate clearly why. 3, 0, 6; 1, -2, x; 1, 2, 1; 2. The attempt at a solution I started by augmenting with a 3 by 3 Identity matrix: 3, 0, 6, 1, 0...
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    Cylindrical Capacitor

    Homework Statement Hey guys, My prof asked us to find the radius of a cylinder within a cylindrical capacitor with 2 radii a and b. I know we use the Capacitance formula for a cylinder but I cant seem to get pass the q that shows up when I plug it into the 1/2 c*V^2 EDIT: He wants us to find a...
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    Least Square Solution(zeros in one row)

    Homework Statement Give a least squares solution to Ax=C and give the residual error A= -1, 1, 2; 1, -1, 0; 1, -1, 2; C= -1; -1; 2; Homework Equations Residual Error= |Ax-C| The Attempt at a Solution I have done an RREF on the Transpose of A times A...
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    The Molar Specific Heat (internal energy)

    Homework Statement One mole of an ideal diatomic gas undergoes a transition from. a to c along the diagonal path What is the change in internal energy? Homework Equations The Attempt at a Solution I've tried to use the two other paths since the internal energy is the same both...
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    Symbolic Acceleration Problem

    Homework Statement When force F(force is at an angle Theda) is not too large, box m1(smaller top box) moves with box m2(bigger bottom box) without sliding. Find the magnitude of the acceleration of the two blocks.(see attachment) Homework Equations F=ma The Attempt at a Solution...
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    Limit with integral

    Limit with integrel Homework Statement Homework Equations The Attempt at a Solution I tried to take x=ln(u) dx=du/u and solve the integral but I keep getting stuck at the int(cos(u)/u.) Can anyone help me out here?
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    Integration By Parts(stuck on one part)

    Homework Statement Evaluate the Definite Integral Integral[0,1] Ln(x^2+1) dx Homework Equations The Attempt at a Solution So far I have done the first part, U= Ln (x^2+1) Du= 2x/(x^2+1)dx Dv= 1 dx V=x x* Ln(x^2+1)- Integral [0,1] (2x^2/(x^2+1) dx But I'm stuck...
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    The Photoelectric Effect

    Homework Statement In an xray tube, a potential diff. of 70000v is applied across two electrodes. Electrons are emmited from cathode and acc. to anode, where x-rays are produced. my question is if the photoelectric effect problems apply and how they apply. (i.e use work function or E=hf)...