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Unformatted text preview: r = R e = 6370 km. Thus, B = 4 R 3 E q 1 + 3 sin 2 m = ( 4 10 7 T m / A ) (8 . 10 22 J / T) p 1 + 3 sin 2 78 . 5 4 (6 . 37 10 6 m) 3 = 6 . 11 10 5 T , and, using the result of part (b) of problem 6, i = tan 1 (2 tan 78 . 5 ) = 84 . 2 . A plausible explanation to the discrepancy between the calculated and measured values of the Earths magnetic Feld is that the formulas we obtained in problem 6 are based on dipole approximation, which does not accurately represent the Earths actual magnetic Feld distribution on or near its surface. (Incidentally, the dipole approximation becomes more reliable when we calculate the Earths magnetic Feld far from its center.)...
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 Fall '08
 SPRUNGER
 Physics

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