![E -field of a long wire Question : Calculate E -field in arbitrary points outside the wire. Available: A thin wire, infinitely long, carrying charge density [C/m]](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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Electric field of a wire
- 1. Electrical Field of a Long Wire © Frits F.M. de Mul
- 2. E -field of a long wire Question : Calculate E -field in arbitrary points outside the wire. Available: A thin wire, infinitely long, carrying charge density [C/m]
- 4. Analysis and Symmetry 1. Charge distribution: C/m] 2. Coordinate axes: Z-axis // wire 3. Symmetry: cylinder 4. Cylinder coordinates: r, z Z X Y e r e e z
- 5. Analysis, field build-up 1. XYZ-axes 2. Point P on Y-axis P 3. all Q i ’ s at z i contribute E i to E in P 4. E i,x ,E i,y , E i,z 6. expect: E z = E i,z = 0, to be checked !! Z Y X E i z i Q i at z i E i,y E i,z 5. all E i,x = 0 !!
- 6. Approach to solution 1. Distributed charges 3. dQ = .dz z Z Y X P dQ in dz at z 2. dE e r r 4. y- and z - components dE y dE z 5.
- 7. Calculations (1) r e r y P
- 8. Calculations (2) r y P a similar calculation:
- 9. Conclusions y P | E ~ 1/ y P cylinder symmetry E
- 10. Appendix: angular integration (1) r y P
- 11. Appendix: angular integration (2) integration over from - to the end r y P