AQA · A-Level · Physics

    Course version: 7408 · Version from Sept 2016

    Examples should include the use of variable resistors, thermistors, and…

    Full specification wording

    Potential divider: Examples should include the use of variable resistors, thermistors, and light dependent resistors (LDR) in the potential divider.

    A variable resistor changes its resistance by hand, so the output p.d. can be set or adjusted.

    Checked against the AQA 7408 specification (opens in a new tab) on .

    • Point 2 of 2
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    A variable resistor changes its resistance by hand, so the output p.d. can be set or adjusted. A thermistor's resistance falls as temperature rises (negative temperature coefficient), so in a divider its output p.d. changes with temperature. An LDR's resistance falls as light intensity rises, so its output p.d. changes with illumination. In each case use V_out = V_in × R₂ / (R₁ + R₂), where R₂ is the resistor across which the output is taken.

    For example: With a 6.0 V supply, a fixed 2.0 kΩ resistor and a thermistor of resistance 4.0 kΩ, the p.d. across the thermistor is 6.0 × 4000 / 6000 = 4.0 V. Decide which component is R₂, then substitute.

    What earns the marks

    • Applies V_out = V_in × R₂ / (R₁ + R₂) to circuits containing a variable resistor, thermistor or LDR.
    • Explains that a variable resistor allows the output p.d. to be adjusted manually.
    • Explains that a thermistor's resistance decreases as temperature increases, changing the output p.d.
    • Explains that an LDR's resistance decreases as light intensity increases, changing the output p.d.
    • Identifies which component the output p.d. is measured across before calculating.

    Common mistakes and how to put them right

    • Reversing the thermistor or LDR resistance trend.

      Put it right by remembering that resistance falls as temperature or light intensity rises.

    • Taking the output across the wrong component.

      Put it right by stating which resistor is R₂ before substituting into the equation.

    • Mixing resistance units; correct this by converting all resistances to the same unit, such as ohms or kilohms, before calculating.

    Exam tips

    • Name the sensing component and state how its resistance changes before doing the calculation.
    • Write the divider equation, identify R₂, then substitute values with units.
    • For explain questions, link the resistance change to the change in share of the supply p.d. across each component.

    Try the lesson

    The start of the Potential divider: Examples should include the use of variable resistors, thermistors, and light dependent resistors (LDR) in the potential divider. lesson, made from checked teaching notes for this specification point.

    Have a go first

    In a potential divider, an NTC (negative temperature coefficient) thermistor is connected in series with a fixed resistor across a constant supply. As the thermistor gets hotter, what happens to its resistance and to the potential difference across it?

    Listen

    A variable resistor changes its resistance by hand, so the output p.d. can be set or adjusted. A thermistor's resistance falls as temperature rises (negative temperature coefficient), so in a divider its output p.d. changes with temperature. An LDR's resistance falls as light intensity rises, so its output p.d. changes with illumination. In each case use V_out = V_in × R₂ / (R₁ + R₂), where R₂ is the resistor across which the output is taken. For example, with a 6.0 V supply, a fixed 2.0 kΩ resistor and a thermistor of resistance 4.0 kΩ, the p.d. across the thermistor is 6.0 × 4000 / 6000 = 4.0 V. Decide which component is R₂, then substitute. A strong answer earns marks for these points. Applies V_out = V_in × R₂ / (R₁ + R₂) to circuits containing a variable resistor, thermistor or LDR. Explains that a variable resistor allows the output p.d. to be adjusted manually. Explains that a thermistor's resistance decreases as temperature increases, changing the output p.d. Explains that an LDR's resistance decreases as light intensity increases, changing the output p.d. A common slip: Reversing the thermistor or LDR resistance trend. Instead, remembering that resistance falls as temperature or light intensity rises. Exam tip: Name the sensing component and state how its resistance changes before doing the calculation.

    See it

    A top-down flowchart. The top node reads 'Potential divider with a sensing component' and branches to three nodes: 'Variable resistor: resistance changed by hand', 'Thermistor: resistance falls as temperature rises', and 'LDR: resistance falls as light intensity rises'. Each of these leads to a further node: the variable resistor to 'Output p.d. can be set or adjusted', the thermistor to 'Output p.d. changes with temperature', and the LDR to 'Output p.d. changes with illumination'. All three of these output nodes converge on 'Identify which component is R2', which leads to the final node 'Substitute into V_out = V_in × R2 / (R1 + R2)'.
    It shows how a variable resistor, a thermistor and an LDR each change resistance in a potential divider and lead to a changed output p.d., which is then calculated using the divider equation.

    Key words

    Say what each word means before you turn the card.

    variable resistor

    Try answering aloud or in your head before turning the card.

    thermistor

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    LDR

    Try answering aloud or in your head before turning the card.

    R₂

    Try answering aloud or in your head before turning the card.

    See every definition
    variable resistor
    A component that changes its resistance by hand, so the output p.d. can be set or adjusted.
    thermistor
    A component whose resistance falls as temperature rises, so in a divider its output p.d. changes with temperature.
    LDR
    A component whose resistance falls as light intensity rises, so its output p.d. changes with illumination.
    R₂
    The resistor across which the output is taken, used in V_out = V_in × R₂ / (R₁ + R₂).

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-down flowchart. The top node reads 'Potential divider with a sensing component' and branches to three nodes: 'Variable resistor: resistance changed by hand', 'Thermistor: resistance falls as temperature rises', and 'LDR: resistance falls as light intensity rises'. Each of these leads to a further node: the variable resistor to 'Output p.d. can be set or adjusted', the thermistor to 'Output p.d. changes with temperature', and the LDR to 'Output p.d. changes with illumination'. All three of these output nodes converge on 'Identify which component is R2', which leads to the final node 'Substitute into V_out = V_in × R2 / (R1 + R2)'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

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