Question: Consider a coaxial capacitor having inner radius a, outer radius b, unit length, and filled with a material with dielectric constant, r. Compare this to

Consider a coaxial capacitor having inner radius a, outer radius b, unit length, and filled with a material with dielectric constant, r. Compare this to a parallel-plate capacitor having plate width w, plate separation d, filled with the same dielectric, and having unit length. Express the ratio b/a in terms of the ratio d/w, such that the two structures will store the same energy for a given applied voltage.

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