A copper wire has a resistance of \(25 \mathrm{~m} \Omega\) at \(20^{\prime} \mathrm{C}\) When the wire is carrying current, heat produce by the current causes it's temperature to increase by \(27^{\circ} \mathrm{C}\). What is the change in the wire's resistance? [take temperature coefficient of resistivity of copper, \(\left.a=6.8 \times 10^{-3}\right]\)
A. \(1.2 \mathrm{~m} \Omega\) B. \(11.8 \mathrm{~m} \Omega\) C. \(2.3 \mathrm{~m} \Omega\) D. \(4.6 \mathrm{~m} \Omega\)
