The temperature dependence of resistance is also quantified by the relation \(\mathrm{R}_{2}=\mathrm{R}_{1}\left[1+\alpha\left(\mathrm{T}_{2}-\mathrm{T}_{1}ight)ight]\) where \(\mathrm{R}_{1}\) and \(\mathrm{R}_{2}\) are the resistances at temperatures \(T_{1}\) and \(T_{2}\), respectively, and \(\alpha\) is known as the temperature coefficient of resistance. If a copper wire has a resistance of \(55 \Omega\) at \(20^{\circ} \mathrm{C}\), find the maximum permissible operating temperature of the wire if its resistance is to increase by at most \(20 \%\). Take the temperature coefficient at \(20^{\circ} \mathrm{C}\) to be \(\alpha=0.00382\).