ELE 404 Quiz: Quiz-3 solution

• School: Ryerson University
• Department: Electrical Engineering
• Course: ELE 404
• Professor: All

Document Summary

Qestion: an in nitely long transmission line consisting of two concentric cylinders hav- ing their axes along z axis. The inner conductor has radius a and carrying current i, while the outer conductor has inner radius b and thickness t and carries return current i. Calculate (a) the magnetic eld strength ~h everywhere, [6 marks] (b) the self inductance of inner conductor. Ampere"s law can be applied on an in nitely long transmission line. The cross sectional diagram of the line is shown in figure. Figure 1: cross section the amperian surfaces in di erent regions. We have to nd ~h for 0 a, a b, (b + t) and (b + t). (a) The amperian surface is indicated by the red dotted circle. The amperian surface is indicated by the green dotted circle. For b (b + t) The amperian surface is indicated by the black dotted circle. ~h. d~l = ienc = i + i .