A cylindrical copper wire has length L, diameter d, and resistance R. If the diameter of the wire is increased to 2d, what happens to the resistance of the copper wire? ( Note: area of the circular part of nd² the wire with diameter d is given by, 2) 4

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Q: (c) Find the total charge. (d) Show that |E| is maximum when r= 0.145a

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A: Given ρv=8c/m3R=2 m now, ρv(r)=8r c/m3qin(r)=∫0rρv dV        =∫0r8r×4πr2 dr         =32π r44 = 8π r4

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Q: Silver Aluminum 1 km a/3 2а/3

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A: Fig: Given circular wire  Given that  J=15(1-e-1000r)az  A/m2r=2 mm

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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.