A coaxial capacitor consisting of an inner wire and an outer cylindrical shell has a length of

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A coaxial capacitor consisting of an inner wire and an outer cylindrical shell has a length of \(50 \mathrm{~cm}\) and an outer diameter of \(4 \mathrm{~mm}\). When connected to a \(16.0-\mathrm{V}\) battery, this capacitor can hold \(3 \mathrm{nC}\) of charge on the wire. What is the wire radius?

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