Resistors dissipate energy in electric circuits, but their behavior is found time and again in diverse phenomena from the flux of biomass in bacterial cells to the flow of cars on city traffic grids.

If a current of \(4.00\text{ A}\) flows in a copper wire with a cross-sectional area of \(2.70 \times 10^{-6}\text{ m}^2\) and a length of \(5.40\text{ m},\) approximately how much electrical energy is transferred to thermal energy in \(15\text{ min}?\)

The resistivity of copper is \(1.69 \times 10^{-8}\,\Omega\cdot\text{m}.\)

A Nichrome wire that has a cross sectional area of \(2.50 \times 10^{-6}\text{ m}^2\) is connected to a potential difference of \(75.0\text{ V}.\) If the wire dissipates \(4000\text{ W},\) what is its approximate length?

Nichrome has a resistivity of \(6.00 \times 10^{-7}\,\Omega\cdot\text{m}.\)

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