A current of 16 amperes branches into currents x, y, and z through resistors with resistences 8, 6, and 2ohms as shown.I=x, R=8I=y, R=61=16 ampsI=z, R=2QIt is known that the current splits in such a way that the sum of the currents through the three resistorsequals the initial current. The energy generated in each resistor is given by E = I2R, where I is thecurrent in that resistor and R is the resistance. Use Lagrange multipliers to find the currents x, y, and zwhich will minimize the total energy generated. (It turns out that nature always splits the currents so thatthe total energy is minimized.)x=y =ampsampsz=amps

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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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