Resistance in a Thermistor (AQA AS Physics)

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Temperature & Resistance

  • All solids are made up of vibrating atoms
    • The higher the temperature, the faster these atoms vibrate

  • Electric current is the flow of free electrons in a material
    • The electrons collide with the vibrating atoms which impede their flow, hence the current decreases

Resistance & Temperature in a Metal, downloadable AS & A Level Physics revision notes

Metal atoms and free electrons at low and high temperatures

  • So, if the current decreases, then the resistance will increase (from V = IR)
  • Therefore, for a metallic conductor which obeys Ohm's law:
    • An increase in temperature causes an increase in resistance
    • A decrease in temperature causes a decrease in resistance

  • This is not the case for components such as a thermistor
    • For a thermistor, an increase in temperature causes a decrease in resistance

Applications of a Thermistor

  • A thermistor is a non-ohmic conductor and sensory resistor whose resistance varies with temperature
  • Most thermistors are negative temperature coefficient (ntc) components.
    • This means that if the temperature increases, the resistance of the thermistor decreases (and vice versa)

  • The temperature-resistance graph for a thermistor is shown below

Thermistor graph, downloadable AS & A Level Physics revision notes

Graph of temperature against resistance for a thermistor

  • Thermistors are temperature sensors and are used in circuits in ovens, fire alarms and digital thermometers
    • As the thermistor gets hotter, its resistance decreases
    • As the thermistor gets cooler, its resistance increases

Thermistor diagram, downloadable AS & A Level Physics revision notes

The resistance through a thermistor is dependent on the temperature of it

Worked example

A thermistor is connected in series with a resistor R and a battery.WE - thermistor in circuit question image, downloadable AS & A Level Physics revision notesThe resistance of the thermistor is equal to the resistance of R at room temperature. When the temperature of the thermistor decreases, which statement is correct?

A.     The p.d across the thermistor increases

B.     The current in R increases

C.     The current through the thermistor remains constant

D.     The p.d across R increases

     ANSWER: A

  • The resistance of the thermistor increases as the temperature decreases
  • Since the thermistor and resistor R are connected in series, the current I in both of them is the same
  • Ohm’s law states that V = IR
  • Since the resistance of the thermistor increases, and I is the same, the potential difference V across it increases
  • Therefore, statement A is correct
    • B and C are both incorrect – total resistance has increased so current has decreased
    • D is incorrect because the p.d. across R has decreased – the thermistor's resistance has increased so it receives a greater proportion of the cell's emf (and therefore R receives a smaller proportion)

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Stewart

Author: Stewart

Expertise: Chemistry Lead

Stewart has been an enthusiastic GCSE, IGCSE, A Level and IB teacher for more than 30 years in the UK as well as overseas, and has also been an examiner for IB and A Level. As a long-standing Head of Science, Stewart brings a wealth of experience to creating Exam Questions and revision materials for Save My Exams. Stewart specialises in Chemistry, but has also taught Physics and Environmental Systems and Societies.