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Unformatted text preview: Name #1 56Â» log tÂ»: o a February 18, 2009 Notes:
0 4 problems, 50 minutes.
0 A doubleâ€”sided formula sheet is supplied separately or attached at back.
0 You are also allowed your own onesided 8 1/2â€ X 11â€ formula sheet 0 Please put your name on each page. W WUâ€œ â€G WK}; "5â€™ y
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vector fields is represented by the arrows, and the magnitude of the vector field is represented
both by the thickness of the field lines (thicker lines means greater magnitude) and the
numbers placed close by to the lines. We also assume that the fields donâ€™t vary in the
direction normal to the paper (2). You may assume B = uOH and D = 80E. The charge density (9) and current density g!) are
not specified but are allowed to be nonzero. For each vector field F, answer the following: a) Is F a possible solution for the electric field (E) within some bounded region of space
within the framework of electrostatics? b) Is F a possible solution for the magnetic field (B) within some bounded region of space
within the framework of magnetostatics? In each case you must (brieï¬‚y) justify your answer to receive credit. Figure and space for answers on following page. E Let/â€œ(Vic â€œCâ€â€™[dl) x ~Friâ€œ V Ltd {J} .Liz L V0 S 541â€œâ€œ 'QJOQ â€™ â€IL M? W Vâ€˜CE:O Ofâ€˜ (ï¬qfvccim'i/(a, Â§E Â«d2 :0 (vaxaâ€˜whwâ€˜r) â€˜ â€œlufâ€˜iâ€˜aihâ€˜c 'vau); Wt rulwFL' Vâ€œig:o 6P ~vajâ€˜yâ€˜râ€˜mâ€˜4'5/ Ã©Eâ€˜CQS 3Q Cevmmâ€™kmt) H 5 (ivâ€”Â«9x gng b 43'an (7K 8 : Â£193. . \ umwswlmzâ€˜wwï¬‚ ~ 3+ WW1 (u. MMW ,M,
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(E)? field (B)?
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coordinates. Write down three additional (i.e., not spatially uniform), linearly independent solutions for G. No detailed derivations are required, but you must at least brieï¬‚y explain your reasoning. Mm gmw weÂ» and :5 um um? â€~5li { a :
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surrounded by freespace. perfect
conductor E=E0â€™Z\ a) Provide a sketch that shows the pattern of electric field lines in the presence of the sphere
as well as the distribution of surface charge. Discuss (brieï¬‚y) how your sketch is
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 Electromagnet

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