Problem 4: Use the table below to answer the following questions on Temperature Coefficients of Resistivity.
Material Coefficient (1/°C)[2] Material Coefficient α (1/°C)[2]
Conductors Conductors
Silver 3.8x10-3 Manganin (Cu, Mn, Ni alloy) 0.000x10-3
Copper 3.9x10-3 Constantan (Cu, Ni alloy) 0.002x10-3
Gold 3.4x10-3 Mercury 0.89x10-3
Aluminum 3.9x10-3 Nichrome (Ni, Fe, Cr alloy) 0.4x10-3
Tungsten 4.5x10-3 Semiconductors
Iron 5.0x10-3 Carbon (pure) -0.5x10-3
Platinum 3.93x10-3 Germanium (pure) -50x10-3
Lead 3.9x10-3 Silicon (pure) -70x10-3
Suppose a wire is 21 m long with a diameter of 0.15 mm and has a resistance of 91 Ω at 20.0°C.
Part (a) What is the resistivity of the wire's material?
Part (b) What is its resistance at 150°C, in ohms, if the temperature coefficient of resistivity is the same as that of gold?