Challenge: two electromagnetic problems

AI Thread Summary
In a phase-to-neutral fault on a transmission line, the presence of a neutral wire can influence the magnetic field, potentially decreasing it due to the return path provided by the neutral. The discussion highlights that without a neutral line, a phase-to-neutral fault cannot occur. Regarding the second problem, the participants suggest that it involves refraction rather than reflection, indicating that the image of the point current source should be considered in the upper half-space. The complexities of soil resistivity and its impact on potential distribution are acknowledged, emphasizing the need for clarity in the problem's setup. Overall, the discussion centers on the implications of neutral wires in fault conditions and the behavior of electric fields in layered soil environments.
wine9
(a) When there is a phase-to-neutral fault on a transmission line, will the existence of the neutral wire increase or decrease the magnetic field under the transmission line? Why?

(b) Assuming that the whole space consists of an upper half space with soil resistivity r1 and a lower half space with soil resistivity r2, assuming further that a point current source, I, is located h meters away from the soil interface in the upper space, find the Earth potential at the image position of the point source in the lower space
 
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Hi wine9, sorry I'm completely lost at this.

(a)If the neutral line doesn't exist, then how can you have a phase-to-neutral fault?
(b)I think this is a refraction (not reflection) problem and so the image should be in the upper space.
 
I was using the Smith chart to determine the input impedance of a transmission line that has a reflection from the load. One can do this if one knows the characteristic impedance Zo, the degree of mismatch of the load ZL and the length of the transmission line in wavelengths. However, my question is: Consider the input impedance of a wave which appears back at the source after reflection from the load and has traveled for some fraction of a wavelength. The impedance of this wave as it...
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