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ELECTROMAGNETICS

ELECTROMAGNETICS. Linear Charges Surface Charges Ring Charges Volume Charges. Professor: Viviana Vladutescu. LINEAR CHARGES. An infinite length line of charge,  L , is placed along the z -axis. We wish to find E at an arbitrary point P(  , , z ).

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ELECTROMAGNETICS

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  1. ELECTROMAGNETICS Linear Charges Surface Charges Ring Charges Volume Charges Professor: Viviana Vladutescu

  2. LINEAR CHARGES

  3. An infinite length line of charge, L, is placed along the z-axis. We wish to find E at an arbitrary point P(, , z).

  4. Redrawn problem in the r – z plane with field components for a charge element dQ as indicated.

  5. Adding the field components for a second charge element dQ above the radial axis

  6. Sketch to show where all the components come from to set up the integral.

  7. Surface Charges

  8. The point P is shown h above a current sheet of infinite extent occupying the x – y plane..

  9. Infinite sheet of charge broken up into a continuous series of lines of charge.

  10. Ring Charges

  11. E is sought at point h on the z-axis from a ring of charge centered on the x – y plane.

  12. dE components from a pair of charge segments dL on opposite sides of the ring.

  13. Terms for setting up the integral.

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