The total charge a battery can supply is rated in \(\mathrm{mA} \cdot \mathrm{h}\), the product of the current (in \(\mathrm{mA}\) ) and the time (in \(\mathrm{h}\) ) that the battery can provide this current, A battery rated at \(1000 \mathrm{~mA} \cdot \mathrm{h}\) can supply a current of \(1000 \mathrm{~mA}\) for \(1.0 \mathrm{~h}, 500 \mathrm{~mA}\) current for \(2.0 \mathrm{~h}\), and so on. A typical AA rechargeable battery has a voltage of \(1.2 \mathrm{~V}\) and a rating of \(1800 \mathrm{~mA} \cdot \mathrm{h}\). For how long could this battery drive current through a long, thin wire of resistance \(22 \Omega\) ?