Physics102F14Quiz12solns - Physics 102 Fall 2014 NAME Quiz 12 Solutions Make sure your name is on your quiz and please box your final answer Because we

Physics102F14Quiz12solns - Physics 102 Fall 2014 NAME Quiz...

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Physics 102 Fall 2014 NAME: Quiz 12 - Solutions Make sure your name is on your quiz, and please box your final answer. Because we will be giving partial credit, be sure to attempt all the problems, even if you don’t finish them! 1. SupposeV= 0 and~A=A0sin(kx-ωt)ˆj, whereA0,ω, andkare constants.(a) Show that these potentials satisfy theCoulomb gauge, where∇ ·~A= 0.(b) Find~Eand~Bfrom these potentials.(c) Check that your results from part (b) satisfy Maxwell’s equations in vacuum,whereρ=~J0. What condition must you impose onωandk? ———————————————————————————————————— Solution 1
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