Coaxial cables are used extensively for cable television and other electronic ap

Question

Coaxial cables are used extensively for cable television and other electronic applications. A coaxial cable consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic as shown in Figure (a). Current leakage through the plastic, in the radial direction, is unwanted. (The cable is designed to conduct current along its length, but that is not the current being considered here.) The radius of the inner conductor is a = 0.500 cm, the radius of the outer conductor is b = 1.79 cm, and the length is L = 15.0 cm. The resistivity of the plastic is 1.0 1013 ?

Explanation / Answer

Area = pie(R^2-r^2)L =3.14(1.79^2-0.5^2)*15=139.13 resistance=area/resistivity =139.13/1.01013 =137.74ohm Length for radial resistance equal to 7 times = Resistance/n (n=7) L=137.74/7 L=19.6=20cm(Rounding Up)

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