Halliday, Resnick & Walker — Current and Resistance: Problem 32

32 The current-density magnitude in a certain circular wire is \( J = (2.75 \times 10^{10} \text{ A/m}^4)r^2 \), where \( r \) is the radial distance out to the wire's radius of \( 3.00 \text{ mm} \). The potential applied to the wire (end to end) is \( 80.0 \text{ V} \). How much energy is converted to thermal energy in \( 1.00 \text{ h} \)?