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Worksheet: Effect of Temperature on Resistivity

Q1:

A digital medical thermometer contains a thermistor that has a temperature coefficient of resistance of when it is at the same temperature as a patient. What is a patient’s temperature if the thermistor’s resistance at that temperature is of its value at ?

Q2:

A nichrome rod that is 3.00 mm long with a cross-sectional area of 1.00 mm2 is used for a digital thermometer.

The resistivity of nichrome is Ω⋅m.

The temperature coefficient of resistance of nichrome is .

What is the rods’s resistance at ?

  • A Ω
  • B Ω
  • C Ω
  • D Ω
  • E Ω

What is the rods’s resistance at ?

  • A Ω
  • B Ω
  • C Ω
  • D Ω
  • E Ω

Q3:

A 12-gauge (2.05 mm diameter) gold wire has a length of 1.00 meters. The resistivity of gold is Ω⋅m and the resistivity of silver is Ω⋅m.

What would be the length of a silver 12-gauge wire with the same resistance as a 1.00 m long 12-gauge gold wire?

The temperature coefficient of resistance of gold is . What is the resistance of a 1.00 m length of 12-gauge gold wire at the temperature of boiling water?

Consider a silver 12-gauge wire that has the same resistance as a 1.00 m length of 12-gauge gold wire. If the temperature coefficient of resistance of silver is , what is the resistance of this silver wire at the temperature of boiling water?

Q4:

A copper wire has a resistance of 0.500 Ω at and an iron wire has a resistance of 0.525 Ω at the same temperature. The temperature coefficient of resistance of copper is and the temperature coefficient of resistance of iron is . At what temperature do the resistances of the wires equal each other?

  • A
  • B
  • C
  • D
  • E