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Quiz 7 for Electromagnetic Theory | PHYS 4210, Quizzes of Physics

Material Type: Quiz; Professor: Napolitano; Class: ELECTROMAGNETIC THEORY; Subject: Physics; University: Rensselaer Polytechnic Institute; Term: Spring 2011;

Typology: Quizzes

2010/2011

Uploaded on 05/17/2011

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Download Quiz 7 for Electromagnetic Theory | PHYS 4210 and more Quizzes Physics in PDF only on Docsity! Name: PHYS4210 Electromagnetic Theory Quiz #7 28 Mar 2011 This is a closed book quiz! You have thirty minutes to complete it. This quiz has two unrelated parts. You must work both of them for full credit. I. A charge q moves with speed V = 3c/5 in the +x-direction, and is located at the origin at a specific instant in time. At this instant, a stationary charge q is located (a) on the x-axis at x = a or (b) on the z-axis at z = a, with a > 0. Find both the magnitude and direction of the force on the stationary charge for cases (a) and (b) in terms of q and a. II. In class we constructed the field strength tensor in full contravariant form, namely F µν , in terms of E and B. Starting from F µν , construct the full covariant form, namely Fµν . In case you didn’t put it on your crib sheet, F µν is given on the right. F µν =  0 −Ex −Ey −Ez Ex 0 −Bz By Ey Bz 0 −Bx Ez −By Bx 0 
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