1- A long metallic cone of a length l, shown in figure 1, stands perpendicular on a wide expanded earthed metallic plate in free space. The potential of the cone is V,. Sketch qualitatively the electric field line and the equipotential surfaces. Start with Gauss's law to calculate the following: a) Electric flux density and the electric field intensity in whole space. b) The surface charge density on the cone surface and on the plate. c) The capacitance of the arrangement -V =V, Air gap V-0 Figure 1: A long metallic cone stands perpendicular on a wide metallic plate

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Chapter1: Units, Trigonometry. And Vectors
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1- A long metallic cone of a length l, shown in figure 1, stands perpendicular on a wide expanded
earthed metallic plate in free space. The potential of the cone is Vo. Sketch qualitatively the electric
field line and the equipotential surfaces. Start with Gauss's law to calculate the following:
a) Electric flux density and the electric field intensity in whole space.
b) The surface charge density on the cone surface and on the plate.
c) The capacitance of the arrangement
-V = V,
Air gap
V = 0
Figure 1: A long metallic cone stands perpendicular on a wide metallic plate
Transcribed Image Text:1- A long metallic cone of a length l, shown in figure 1, stands perpendicular on a wide expanded earthed metallic plate in free space. The potential of the cone is Vo. Sketch qualitatively the electric field line and the equipotential surfaces. Start with Gauss's law to calculate the following: a) Electric flux density and the electric field intensity in whole space. b) The surface charge density on the cone surface and on the plate. c) The capacitance of the arrangement -V = V, Air gap V = 0 Figure 1: A long metallic cone stands perpendicular on a wide metallic plate
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