Recall, in electrostatics you determined in a previous HW problem the capacitanc
ID: 1998205 • Letter: R
Question
Recall, in electrostatics you determined in a previous HW problem the capacitance per unit length for a two-wire transmission line. It is essential to characterize this structure even further by computing its inductance per unit length. Consider the two-wire transmission line model shown in image on the left in the figure below. The image illustrates two very long parallel conductors, each carrying a current I, in opposite directions with radii a and separation distance d. The image on the right shows a horizontal cross-section view. With the coordinate system shown, determine the external self inductance per unit length of the two-wire line assuming d>>aExplanation / Answer
Flux due to one wire = integral B.dA
= integral 1*uoi/2pi r dr = uoi /2pi ln(d/a)
Flux due to both wire = uoi/pi ln (d/a)
self inductance = Flux/i
= (uo/2pi) ln(d/a)
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