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Chapter 30 Serway & Beichner
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Force between two current carrying wires
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Electric current The Ampere The ampere is that constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1 m apart in vacuum, would produce a force between them equal to 2 × 10 -7 Newton per meter of length.
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Fig 30-8, p.932
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Fig 30-9c, p.933
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Fig 30-1, p.927
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Fig 30-3, p.929 See Ex. 30.1
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Fig 30-7, p.931 See Ex. 30.3 @ z = 0z >> R
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Ch. 3010
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Fig 30-7b, p.931
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Fig 30-17, p.938
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Fig 30-12, p.935 for r > R for r < R Application of Ampère’s Law
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Fig 30-13, p.936
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Fig 30-19, p.939 Field inside Solenoid
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start 9/13/04
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Fig P30-20, p.940 Magnetic Flux B = BdA = BAcos
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Ampère’s Law One More Time Ampere’s law states that the line integral of B. ds around any closed loop equals o I where I is the total steady current passing through any surface bounded by the closed loop.
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Apply Ampere’s Law to red loop for a wire with a constant current I Now introduce a capacitor to interrupt the the circuit. What’s wrong? Use a power supply that will keep current constant as the cap is charged: +Q/-Q on left/right plate. Now Apply Ampere’s Law again.
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Now introduce a capacitor to interrupt the the circuit. If our power supply is strong enough to keep I constant, the gray surface will give B = 0! What’s wrong? Assume that I is constant. Apply Ampère’s Law to either the, white or gray surfaces, both of which are bounded by the red loop. This leads to:
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If the power supply can keep the current constant, the cap. will be charged: +Q/-Q on left/right plate. This establishes an E-field between the two plates. E = EdA = Q/ o Electric flux will change in time corresponding to an effective current called the Displacement Current
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Consider to different surfaces
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Fig 30-27, p.945 Orbital Motion of the Electron in an Atom
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Fig 30-28, p.946 Magnetic Moments due to Spin of electron, neutron and proton
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Table 30-1, p.946 ElectronProtonneutron -9281.41-0.966 Magnetic Moments 10 -26 J/T
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Polarization Generated Field points in the opposite direction
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Table 30-2, p.948
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Paramagnetism Generated field adds to applied field Atomic currents
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Diamagnetism Generated field opposes applied field
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Magnetic Domains
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The Earth as a big magnet
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l =0.4 m i = 10 A
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Fig P30-6, p.957
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Ch. 3037
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Ch. 3038
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Ch. 3039
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Ch. 3040
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