midterm_2011

# midterm_2011 - Physics 523 Midterm Exam Fall 2011 Thursday...

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Physics 523 Midterm Exam, Fall 2011 Thursday, October 27, 3:00-4:20pm This exam consists of 3 problems (with multiple parts) on 2 pages, worth a total of 100 pts. Do all problems, answered in the exam booklet provided, and clearly show all your work. This is a closed-book exam. Non-programmable calculators may be used (though should not be necessary). Remember to write your name in the exam booklet, and write and sign the pledge : I pledge my honor that I have not violated the Honor Code during this examination. Problem 1. [30 pts total] Consider a point charge in Maxwell’s theory described by 4-potential A μ with components ( A t , A x , A y , A z ) = ( q/r, 0 , 0 , 0) in Minkowski spacetime ds 2 = dt 2 + dx 2 + dy 2 + dz 2 , where r = radicalbig x 2 + y 2 + z 2 and q is a constant. Recall: F μν = A μ,ν A ν,μ E α ( n ) = F αβ n β B α ( n ) = 1 2 ǫ αβγδ F γδ n β n α n α = 1 (a) [15 pts] What are the components of the electric and magnetic 4-vectors seen by an observer n α at rest with respect to the ( t, x, y, z ) coordinate system?

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