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10.2.5 LDRs and thermistors

The light-dependent resistor

Definition

Light-dependent resistor

A light-dependent resistor is a component whose resistance decreases as the intensity of the light falling on it increases.

  1. A light-dependent resistor is made from a semiconducting material whose resistance depends on the light falling on its surface.
  2. In bright light the resistance of a typical light-dependent resistor is only a few hundred ohms, while in complete darkness it can rise above a million ohms.
  3. Light arriving at the semiconductor frees more of its electrons to move, so more charge carriers become available and the material opposes the flow of charge less.
  4. As the light intensity rises the resistance falls, and as the light intensity falls the resistance rises again.
  5. The graph of resistance against light intensity is a curve, falling steeply at low intensity and levelling off at high intensity, so the relationship is not linear.
  6. Because its resistance changes with the conditions rather than staying fixed, a light-dependent resistor is not an ohmic component.
Example

Current through a light sensor

  • A light-dependent resistor is connected across a 6.0 V6.0\ \text{V}6.0 V supply, and in bright light its resistance is 500 Ω500\ \Omega500 Ω.
  • The current is found from I=VRI=\dfrac{V}{R}I=RV​.
  • In bright light, I=6.0500=0.012 AI=\dfrac{6.0}{500}=0.012\ \text{A}I=5006.0​=0.012 A, which is 12 mA12\ \text{mA}12 mA.
  • With the lamp switched off the resistance rises to 200 kΩ200\ \text{k}\Omega200 kΩ, which must be converted to 200 000 Ω200\,000\ \Omega200000 Ω before substituting.
  • In the dark, I=6.0200 000=0.000030 AI=\dfrac{6.0}{200\,000}=0.000030\ \text{A}I=2000006.0​=0.000030 A, which is 30 μA30\ \mu\text{A}30 μA, so the current has fallen to one four-hundredth of its bright-light value.

The thermistor

Definition

Thermistor

A thermistor is a component whose resistance decreases as its temperature increases.

  1. A thermistor is made from a semiconductor whose resistance depends strongly on its own temperature.
  2. In the type used in school circuits the resistance falls as the temperature rises, which is the opposite of what happens in a metal wire.
  3. Heating the semiconductor frees more of its electrons to move, so more charge carriers become available and the resistance drops.
  4. A laboratory thermistor might fall from about 10 kΩ10\ \text{k}\Omega10 kΩ at 10 ∘C10\,^{\circ}\text{C}10∘C to a few hundred ohms at 80 ∘C80\,^{\circ}\text{C}80∘C.
  5. The graph of resistance against temperature is a curve, falling steeply at low temperature and flattening out at high temperature, so the change is not linear.
  6. A thermistor is therefore not an ohmic component either, since R=VIR=\dfrac{V}{I}R=IV​ gives a different value at every temperature.
Example

Current through a thermistor

  • A thermistor is connected in series with a fixed resistor of resistance 1000 Ω1000\ \Omega1000 Ω across a 9.0 V9.0\ \text{V}9.0 V supply, and at room temperature the thermistor has a resistance of 8000 Ω8000\ \Omega8000 Ω.
  • The resistance of the whole loop is 8000+1000=9000 Ω8000+1000=9000\ \Omega8000+1000=9000 Ω.
  • The current is I=9.09000=0.0010 AI=\dfrac{9.0}{9000}=0.0010\ \text{A}I=90009.0​=0.0010 A, which is 1.0 mA1.0\ \text{mA}1.0 mA.
  • Warming the thermistor brings its resistance down to 500 Ω500\ \Omega500 Ω, so the loop resistance becomes 500+1000=1500 Ω500+1000=1500\ \Omega500+1000=1500 Ω.
  • The current rises to I=9.01500=0.0060 AI=\dfrac{9.0}{1500}=0.0060\ \text{A}I=15009.0​=0.0060 A, six times the earlier value, and the potential difference across the fixed resistor rises with it.

Sensing circuits

Definition

Sensing circuit

A sensing circuit is a circuit that uses a component whose resistance changes with a physical condition so that the circuit responds automatically to that condition.

  1. A sensing circuit places a light-dependent resistor or a thermistor in series with a fixed resistor across a supply, and takes its output from across one of the two.
  2. When the sensor's resistance changes, the resistance of the whole loop changes with it, so the current in the loop changes as well.
  3. The potential difference across the fixed resistor then changes too, because V=IRV=IRV=IR with a fixed value of RRR means that potential difference follows the current.
  4. Whatever share of the supply potential difference is not across the fixed resistor is across the sensor, so the two shares always move in opposite directions.
  5. An electronic switch or a relay connected to the output turns a device on or off once the potential difference reaches a set value.
  6. The full chain for an outdoor lamp at dusk runs like this: the light level falls, the light-dependent resistor's resistance rises, the current in the loop falls, the potential difference across the fixed resistor falls while the potential difference across the sensor rises, and the switch turns the lamp on.
Key Idea

A sensing circuit turns a change in light or temperature into a change in resistance, which becomes a change in current and therefore a change in potential difference that an electronic switch can act on.

Where they are used

  1. Street lighting uses a light-dependent resistor to switch lamps on automatically at dusk and off again at dawn, so no energy is spent lighting an already bright street.
  2. Outdoor security lighting uses the same arrangement, so a lamp responds to movement only once it is dark.
  3. A camera sets its exposure and a phone dims its screen using a light sensor of the same kind.
  4. A room thermostat uses a thermistor, so the heating switches off as the room warms and comes back on as it cools.
  5. An oven, a fridge and a freezer each use a thermistor to hold the temperature inside within a set range.
  6. A fire alarm uses a thermistor to detect a rapid temperature rise, and an engine coolant sensor uses one to warn the driver that the engine is overheating.
Common Mistake
  • Do not say that a light-dependent resistor's resistance rises in bright light, because more light frees more charge carriers and so lowers the resistance.
  • Do not treat the resistance of a thermistor as rising with temperature, since that is the behaviour of a metal wire and not of a semiconductor.
  • Do not describe either resistance graph as a straight line, as both are curves that are steep at one end and flat at the other.
  • Do not stop an explanation at the change in resistance, because the remaining marks sit on the change in current and the change in potential difference.

Investigating the components

  1. The light-dependent resistor is connected in series with a cell, a switch and an ammeter, with a voltmeter across the sensor itself.
  2. A lamp is set up a measured distance away on the bench and the room is darkened, so that only the lamp lights the sensor.
  3. The lamp is then moved to a series of measured distances, or a light meter records the intensity at each setting, and both meters are read at every setting.
  4. The resistance at each light level comes from R=VIR=\dfrac{V}{I}R=IV​, and resistance is plotted against light intensity to give the falling curve.
  5. For the thermistor, the sensor is held in a water bath next to a thermometer and the water is heated in steps of about 10 ∘C10\,^{\circ}\text{C}10∘C.
  6. The water is stirred so the thermistor and the thermometer are at the same temperature, then both meters are read at each temperature and R=VIR=\dfrac{V}{I}R=IV​ is used again.
  7. The supply setting is kept the same throughout and each pair of readings is taken quickly, so the current does not warm the sensor and change the very quantity being measured.
Exam technique

Explaining sensor circuits

  • State the change in the condition first, such as the light level falling or the temperature rising.
  • Give the change in the sensor's resistance next, saying clearly whether it rises or falls.
  • Follow that with the change in the current, quoting I=VRI=\dfrac{V}{R}I=RV​ as the reason.
  • Then give the change in the potential difference across the fixed resistor, quoting V=IRV=IRV=IR.
  • Finish by naming the device that responds and whether it switches on or off, because the last mark sits on the effect.
Self review
  • State what happens to the resistance of a light-dependent resistor as the light intensity rises, and give the reason.
  • State what happens to the resistance of a thermistor as its temperature rises, and give the reason.
  • Describe the shape of the resistance against temperature curve for a thermistor.
  • Explain why neither a light-dependent resistor nor a thermistor is an ohmic component.
  • Describe the full chain of changes in a street-lighting sensing circuit as darkness falls.
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10.2.5 LDRs and thermistors Revision Guide

  1. GCSE
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Revision notes for Edexcel GCSE Physics 10.2.5 LDRs and thermistors: explanations and worked examples.

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