Calculating the per-unit-length circuit parameters of a coaxial transmission line using singularity functions

We apply a new analytical technique involving singularity functions to calculate the per-unit-length capacitance and inductance of a coaxial transmission line. With this technique, the force on each conductor of the coaxial line can be directly calculated by incorporating the sifting integral of the unit step function which is equal to 1/2. The per-unit-length parameters are extracted from the total stored energy in the coaxial line by varying the radius of one of the conductors and integrating the force expression on the conductor surface over the appropriate range of this radius.