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capacitors, voltage and resistance calculations

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1)
a. Show that the capacitance per unit length of a cylindrical capacitor is C'= (see attached), where R1 and R2 are the inner and outer radii.
b. Calculate the capacitance per meter when R2/R1=e=2.718

2)
Two capacitors C1 and C2 are charged to voltages V1 and V2 respectively and then connected to parallel, positive terminal to positive terminal and negative to negative.
a. What is the final voltage?
b. What happens to the stored energy?

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The solution calculates the capacitor, voltage and resistance of a cylindrical capacitor.

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Please see the attached file.

(a) By applying Gauss' law to an infinite cylinder, the electric field outside a charged cylinder is found to be

The ...

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