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PHYS 270 – SUPPL. #4

PHYS 270 – SUPPL. #4. DENNIS PAPADOPOULOS FEBRUARY 2, 2009. OVERVIEW. COMPARE E-FIELD TO B-FIELD PROPERTIES FIELDS, FIELD LINES, DIPOLES COMPUTE B-FIELDS DUE TO CURRENTS BIOT-SAVART, LONG WIRES, CURRENT LOOPS, SOLENOIDS AMPERE’s LAW – EQUIVALENCE TO GAUSS’s LAW

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PHYS 270 – SUPPL. #4

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  1. PHYS 270 – SUPPL. #4 DENNIS PAPADOPOULOS FEBRUARY 2, 2009

  2. OVERVIEW • COMPARE E-FIELD TO B-FIELD PROPERTIES • FIELDS, FIELD LINES, DIPOLES • COMPUTE B-FIELDS DUE TO CURRENTS • BIOT-SAVART, LONG WIRES, CURRENT LOOPS, SOLENOIDS • AMPERE’s LAW – EQUIVALENCE TO GAUSS’s LAW • MAGNETIC FORCES ON MOVING CHARGES • MAGNETIC PROPERTIES OF MATTER - MRI

  3. Magnetic Forces

  4. Work due to magnetic force on a charged particle

  5. MAGNETIC FORCES ON CHARGES Do the B forces do work? e.g. qF=1/2 (mv2) Magnetic force acts to change the direction of v but not the magnitude or the value of the force Centripetal acceleration

  6. PARTICLE ORBITS VAN ALLEN BELTS

  7. FORCES ON WIRES a

  8. FORCES ON WIRES a

  9. Attraction Repulsion MUTUAL LOOP FORCES m

  10. Summary Forces on Charges and Currents Attraction Repulsion

  11. SOLENOIDS What is a solenoid – A device that creates a uniform magnetic field inside and zero outside (in both cases almost uniform and almost zero) Who needs it . Electronic devices, MRI machines, Fusion machines etc

  12. How to make a solenoid

  13. B FIELD INSIDE A SOLENOID n is turns per unit length (e.g. per meter)

  14. MAGNETIC TORQUE

  15. TORQUE ON CURRENT LOOPS

  16. ELECTRIC MOTORS Armature is a coil

  17. MAGNETIC PROPERTIES OF MATTER How does a magnet picks up metal paper clips ? Why not plastic ? How is it different from a charged comb picking up pieces of paper ?

  18. Paired (diamagnetic) repelled by B Mutual cancellation No net m Unpaired (paramagnetic) attracted by B Ferromagnetic

  19. 1. Electrons are microscopic magnets due to their spin 2. Ferromagnetic materials are organized in spin aligned domains 3. In external B produce induced magnetic dipole moment Hysteresis

  20. MRI BODY CONTAINS MAINLY WATER MOLECULES, EACH CONTAINING TWO HYDROGEN ATOMS(TWO PROTONS). IN A STRONG UNIFORM MAGNETIC FIELD THE MAGNETIC MOMENTS OF THE PROTONS ALIGN WITH THE B-FIELD. WHEN A RADIO-FREQUENCY EM FIELD IS TURNED ON THEY ABSORB SOME ENERGY AND GIVE IT BACK WHEN IT IS TURNED-OFF. DESEASED TISSUE, SUCH AS TUMORS, IS DETECTED BECAUSE THE RELAXATION RATE ( RETURN TO EQUILIBRIUM) DEPENDS ON THE TISSUE.

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