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Unformatted text preview: Electromagnetic Theory II Problem Set 2 Due: 24 January 2011 6. We can form two scalar fields from the field strength tensor F ( x ); I 1 ( x ) = 1 4 F F = 1 2 ( c 2 B 2 E 2 ) , I 2 ( x ) = 1 4 F F = 2 c E B I 1 , 2 ( x ) = I 1 , 2 ( x ) = I 1 , 2 ( 1 x ) If the fields are uniform in space-time, I 1 , 2 are just numbers which have the same values in all inertial frames. Their values control whether it is possible to find certain kinds of special frames. a) What criteria on uniform static E , B must be met if we are to find a frame in which one or the other or both are zero? Are there any fields which are purely electric in one inertial frame and purely magnetic in another inertial frame? b) Suppose in the lab frame the angle between static uniform electric and magnetic fields E , B with c | B | > | E | is negationslash = 0 , / 2. (For definiteness take axes so E is parallel to the x-axis and B lies in the xy-plane.) Determine an inertial frame in which-plane....
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This note was uploaded on 01/08/2012 for the course PHY 6346 taught by Professor Staff during the Spring '08 term at University of Florida.
- Spring '08