00 m long tungsten wire has a diameter of 2.00 mm. The resistivity of tungsten at room temperature is 5.6 x 10-8 .m, and its temperature coefficient...

A 2.00 m long tungsten wire has a diameter of 2.00 mm. The resistivity ρ of tungsten at room temperature is 5.6 x 10-8 Ω.m, and its temperature coefficient of resistivity is α = 4.5 x 10-3 °C-1

a) Calculate the resistance of the wire at 20.0 °C.

b) The wire is now cooled, and the resistance decreases to 2.75 x 10-2 Ω. What is the temperature of the wire now?

c) If the wire is connected to a 1.5 V battery, calculate the current passing through the wire at this new temperature.