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Chapter 28
Sources of Magnetic Field
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Our approach• B due to a straight wire
• Force between two straight parallel current carrying wires
• The modern def. of Ampere and Coulomb
• Ampere’s Law– Applications and rln to Gauss’ Law
• Biot-Savart Law
• Magnetic materials
• Exploration of B produced by a solenoid
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Magnetic Field Due to Straight Wires
• On what does the magnitude of the magnetic field created by a current in a straight wire depend?
• What exactly is the magnitude of the magnetic field around a straight wire with a current?
• How is the magnetic field among parallel wires with currents calculated?
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Force between two current- carrying wires
• How can one derive the force between two parallel wires carrying currents?
• What is the force’s dependence on the distance between the wires? And how does this make sense?
• In general, when do parallel wires with currents attract or repel each other?
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Definition of the Ampere and the Coulomb
• How are the Ampere and Coulomb defined in terms of the magnetic interaction?
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Ampere’s Law
• In general, what two things does Ampere’s Law relate?
• What precisely is Ampere’s Law?
• In general, in what situations is Ampere’s Law most useful?
• How is symmetry used to define the “Amperian” path?
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Ampere’s Law (cont’d)
• Compare Ampere’s Law and Gauss’s Law.
• Use Ampere’s Law to calculate the magnetic field inside a solenoid?
• Use Ampere’s Law to calculate the magnetic field inside a toroid?
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Biot-Savart Law
• How does the Biot-Savart Law allow calculation of a magnetic field from current when there is insufficient symmetry to use Ampere’s Law?
• What is the Biot-Savart Law?
• Use the Biot-savart Law to calculate B along the axis of symmetry of a current loop and from a wire segment.
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Magnetic Materials
• What is the basis of ferromagnetism?
• What are magnetic domains?
• How is un-magnetized iron attracted by magnets?
• How can ferromagnetism be created and destroyed?
• What is the Curie temperature?
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Magnetic Materials (cont’d)
• How do paramagnetic and diamagnetic materials behave as compared to ferromagnetic materials?
• What is the basis of paramagnetism?
• What is the basis of diamagnetism?
(We will skip the very interesting subject of hysteresis.)
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The end