Unformatted text preview: M using the LaPlace equation. However, now that you know the expansion of 1  rr  in spherical coordinates you can use the following equation derived in class, Φ M = 1 4 π [ Z S da n · M ( r )  rr Z V dV 1  rr  ∇ · M ( r )] . (9 . 16) (1) Show that you obtain the same result using the above. 4) For the uniformly magnetized sphere ﬁnd the force on each hemisphere ( z >, < o ). Do they attract or repel? 5) Solve for the potential on the ﬁrst exam, Φ M , when a sphere of radius a and permeability μ is placed in vacuum in a uniform magnetic ﬁeld B e z . 1...
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 Spring '10
 Blecher
 Charge, Magnetism, Fundamental physics concepts, charge density, volume charge density, ΦM

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