Capacitor & Dielectric: Please provide detailed solution, with step by step. Pre

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Capacitor & Dielectric:

Please provide detailed solution, with step by step. Preferentially done on computer or on a paper and scanned. I will rate immediately if correct and accurate.

It is 1 of a 4 sub-part question -

Capacitor & dielectric (20 pts) Two coaxial cylindrical conducting shells of identical length L and respective radii R1 and R2 (R2 > R1) carry uniformly distributed electric charge +Q and -Q respectively (Q > 0). They are separated by a vacuum of permittivity e0. You may assume that L > > R2. A cross-section view is presented in Figure 3a. c) Determine the capacitance of this cylindrical capacitor.

Explanation / Answer

c)

the capcitance for the cylinder capacitor is:

C=2?*?0*L / ln(R2/R1)

b) C=2?*?0*?r *L / ln(R2/R1)

?r   = k1d + k2(R2-d) / R2

C   = 2?*?0*((k1d + k2(R2-d)) / R2) *L / ln(R2/R1)

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