question archive [Q1] Two Coaxial conducting cylinders of radius a and b have a length L

[Q1] Two Coaxial conducting cylinders of radius a and b have a length L

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[Q1] Two Coaxial conducting cylinders of radius a and b have a length

L. The region between the cylinders contains a layer of dielectric with . Find the capacitance of the system by executing the following procedure:
1- Find the electric flux density D between the two cylinders.
2- Find the electric field intensity E between the two cylinders.
3- Find the charge on the inner cylinder in terms of Q (charge on the inner cylinder).
4- Calculate the potential difference between the two cylinders Vab in terms of Q.
5- Calculate the capacitance of the system using C = Q / Vab
6- As a numerical example: given a = 2 cm , b = 4 cm , L = 1m and find the value of C. 

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