When a straight wire is warmed, its resistance is given by according to the equation, where a is the temperature coefficient of resistivity. This expression needs to be modified if we include the charge in the dimensions of the wire due to thermal expansion. For a copper wire of radius 0.1000 mm and length 2.000 m, find its resistance at , including the effects of both thermal expansion and temperature variation of resistivity. Assume the coefficients are known to four significant figures.
