Coaxial cable design for minimum attenuation coefficient. Consider the coaxial ca...

Coaxial cable design for minimum attenuation coefficient.

Consider the coaxial cable from the previous MATLAB exercise. For given materials in the structure, copper for the conductors and polyethylene (ε_r = 2.25) for the dielectric, and assuming a fixed outer radius b, b = 2 cm, and variable inner radius a of the cable, we wish to design the cable (find a) so that its attenuation coefficient is minimum. Namely, combining Eqs.(9.12), (9.14), (9.5), and (9.2), α for the losses in conductors of the cable can be expressed as

where x stands for the outer to inner conductor radii ratio of the cable. Write a program in MATLAB that calculates and plots the dependence of α_c on x, and finds x that results in the minimum αc. The program also computes the associated characteristic impedance of the cable. (ME9 6.m on IR) H

Reference: Equation-.(9.12), (9.14), (9.5), and (9.2)