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Quiz 6 on Electromagnetic Theory | PHYS 4210, Quizzes of Physics

Rensselaer Polytechnic Institute (RPI)Physics

Prof. James J. Napolitano

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

koofers-user-zkp 🇺🇸

10 documents

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Download Quiz 6 on Electromagnetic Theory | PHYS 4210 and more Quizzes Physics in PDF only on Docsity! Name: PHYS4210 Electromagnetic Theory Quiz #6 21 Mar 2011 This is a closed book quiz! You have thirty minutes to complete it. This quiz has three unrelated parts. Please work all of them for full credit. (a) If Aµ is a spacetime vector and Bµ is a covector, prove that A µBµ is a scalar. (b) The four-momentum of a particle is pµ = muµ = mdxµ/dτ , where m is the particle mass and dτ is the proper time interval. Prove that pµpµ = m 2c2. (c) A four-vector Aµ = (0, Ax, Ay, Az) in some reference frame. Find the component A ′0 in a reference frame moving with velocity +V in the x-direction.

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