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Unformatted text preview: Magnetic Dipole Moment: Potential Energy B l Id F d × = dF IBdl dF = dF ⊥ θ sin IBdl dF = ⊥ ∫ = dl IB F net sin π sin 2 RIB F net = μ sin 2 R B F net = We don’t know θ Force on a Magnetic Dipole B U m ⋅ − = μ 2 , 1 , m m U U < _ > Δ − = Δ = Δ B U x F m us by dx dB x B x U F m us by − → Δ Δ − = Δ Δ = _ dx dU F x − = dx dB F x = <0 There is no force if field is uniform! Force on a Magnetic Dipole F x = − d ( − i B ) dx x dx dB F x μ = 3 2 4 x B bar x π ≈ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ≈ 3 2 4 x dx d F bar x 4 6 4 x F bar x μμ − ≈ Two magnets 4 2 1 6 4 x F x − ≈ Force on a Magnetic Dipole...
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 Winter '07
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 Current, Energy, Force, Potential Energy, Fundamental physics concepts, Magnetic dipole moment

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