A coaxial resistor of length L consists of two concentric cylinders. The inner cylinder has radius rand is made of material with conductivity σ₁, and the outer cylinder, extending between rand ₂, is made of a material with conductivity σ₂. If the to ends of the resistor are capped with conducting plates. a) Solve for the resistance between the two ends symbolically b) Solve for the resistance of a hollow carbon cylinder 10 cm long with ₁-2 cm and ₂-3 cm.

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Dielectric Breakdown

A dielectric is a material with low electrical conductivity and so is classified as an insulator. Dielectric materials are used to block the flow of electricity through them, allowing them to behave as an insulators. They can also be used to store electric charge or improve capacitance.Dielectrics have no free electrons for conduction because electrons are tightly bound to the nucleus. Because dielectrics contain a small number of electrons for electrical conductivity, they have a dipole. The two primary roles of dielectrics in electrical devices are insulation and electrical energy storage. An electric field polarizes the dielectric, and the polarization of the molecules allows dielectric materials to store charge.