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.

8. Surface Charges

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

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

12. Ring Charges

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

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

15. Terms for setting up the integral.