(Solved): A coaxial capacitor (two perfectly conducting cylinders centered on a common ...

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A coaxial capacitor (two perfectly conducting cylinders centered on a common $$\mathrm{z}$$ axis) of length $$L(\mathrm{m})$$ with inner conductor radius $$a(\mathrm{m})$$ and outer conductor radius $$b(\mathrm{m})$$ is filled with an inhomogeneous dielectric medium such that $$?=\frac{4{?}_0}{r^2}$$ for $$a<r<b$$. Neglect any fringing fields in your calculations. (a) Assume that charges of $$+/?Q$$ are located on the surfaces of the inner and outer conductors, respectively. Use Gauss's Law to find the electric flux density, $$\stackrel{?}{D}$$, inside the capacitor. Explain why Gauss's Law can be used in this problem. (b) Find the electric field, $$\stackrel{?}{E}$$, inside the device and determine the potential difference between the conductors. (c) Find the capacitance of this device.