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§5.2: Biot-Savart Law

§5.2: Biot-Savart Law. Christopher Crawford PHY 417 2015-01-21. Outline. Magnetic force law Magnetic field & Lorentz Force – force on two straight wires Force between current elements – analog of Coulomb’s law Separation of field – Lorentz force & Biot-Savart law Examples

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§5.2: Biot-Savart Law

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  1. §5.2: Biot-Savart Law Christopher Crawford PHY 417 2015-01-21

  2. Outline • Magnetic force law Magnetic field & Lorentz Force – force on two straight wires Force between current elements – analog of Coulomb’s law Separation of field – Lorentz force & Biot-Savart law • Examples Straight wire Circular loop Current sheet

  3. Magnetic field & Lorentz force • Magnetic field definition from torque – electrostatic analogy • Magnetic field from force on a straight wire – current element • Lorentz force for currents – TWO right hand rules – parity ? • Lorentz force for moving particles – or ANY current element • Relativistic version

  4. Biot-Savart Law • Coulomb’s Law • Biot-Savart Law • Consistency of separation of force into: I’dl’ –> B –> I dl

  5. Example 5.5: straight wire • Similar to Ch. 2: line charge

  6. Example 5.6: dipole loop • Closest thing to an electric point charge

  7. Example: current sheet

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