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Current density in a cylindrical wire of...

Current density in a cylindrical wire of radius R is given as `J={(J_(0)((x)/(R )-1)" for "0lex lt (R )/(2)),(J_(0)(x)/(R )" for "(R )/(2)le x le R):}`.
If the current flowing in the wire is `(k)/(12)piJ_(0)R^(2)`, find the value of k.

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