Equivalent lumped parameters for a bend in a two-wire transmission line

This report calculates the equivalent lumped parameters of a bend in a parallel-wire transmission line. The equivalent lumped inductance of the bend is calculated exactly within the thin-wire assumption. The inductance for an abrupt bend is obtained explicity in simple closed form. The inductance for a smooth bend modeled by a circular arc is reduced to one-dimensional integrals that can readily be computed. The equivalent lumped capacitance of the bend is calculated from a variational principle. The capacitance of an abrupt bend is obtained explicity in simple form. The capacitance of a circular bend is expressed in terms of one-dimensional integrals to be computed numerically.