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chapter 30 sources of the magnetic field

Biot-Savart Law

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chapter 30 sources of the magnetic field

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    1: Chapter 30 Sources of the magnetic field

    3: Cross product review

    4: Right Hand Rule

    5: Biot-Savart Law

    6: Magnetic field of a long wire

    7: Magnetic field due to a straight wire

    8: B for a Curved Wire Segment Find the field at point O due to the wire segment I and R are constants q will be in radians

    9: Magnetic field due to a current loop

    10: Magnetic field due to a current loop

    11: Comparison to an electric dipole

    13: Force between two parallel wires

    14: Force between two parallel wires

    15: Historical definition of the Ampere

    17: Introduction to Amperes Law

    18: Amperes Law The integral is around any closed path The current is that passing through the surface bounded by the path Like Gausss Law, useful in finding fields for highly symmetric problems

    19: Applying Amperes Law Select a surface Try to imagine a surface where the electric field is constant everywhere. This is accomplished if the surface is equidistant from the charge. Try to find a surface such that the electric field and the normal to the surface are either perpendicular or parallel. Determine the charge inside the surface If necessary, break the integral up into pieces and sum the results. Select a path Try to imagine a path where the magnetic field is constant everywhere. This is accomplished if the surface is equidistant from the charge. Try to find a path such that the magnetic field and the path are either perpendicular or parallel. Determine the current inside the surface If necessary, break the integral up into pieces and sum the results.

    20: Example: Magnetic field inside a wire

    21: Example: Solenoid

    22: Example: Solenoid

    23: Example: Toroid

    25: Magnetic Flux The magnetic field in this element is B dA is a vector that is perpendicular to the surface dA has a magnitude equal to the area dA The magnetic flux FB is The unit of magnetic flux is T.m2 = Wb Wb is a weber

    26: Gauss Law in Magnetism Magnetic fields do not begin or end at any point The number of lines entering a surface equals the number of lines leaving the surface Gauss law in magnetism says:

    27: Displacement Current Amperes law in the original form is valid only if any electric fields present are constant in time Maxwell added an additional term which includes a factor called the displacement current, Id The displacement current is not the current in the conductor Conduction current will be used to refer to current carried by a wire or other conductor

    28: Amperes Law General Form Also known as the Ampere-Maxwell law Magnetic fields are produced both by conduction currents and by time-varying electric fields

    29: Ferromagnetism Domains Curie Temperature Electron orbits align with an external magnetic field

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