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## Resistance of a coaxial cable

A coaxial cable resistor of length $$l$$ consists of two concentric cylinders. The inner cylinder has radius a and is made of a material with conductivity $$\sigma_1$$ , and the outer cylinder, extending between r=a and r=b, is made of a material with conductivity $$\sigma_2$$ . If the two ends of the resistor are capped with conducting plates, show that the resistance between the two ends is given by

$$R= l/(\pi(\sigma_1a^2+\sigma_1(b^2-a^2)))$$

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