AQA · A-Level · Physics

    Course version: 7408 · Version from Sept 2016

    Questions can be set where either I or V is on the horizontal axis of the…

    Full specification wording

    Current–voltage characteristics: Questions can be set where either I or V is on the horizontal axis of the characteristic graph.

    A current–voltage characteristic shows how current through a component varies with potential difference.

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

    • Point 4 of 4
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    A current–voltage characteristic shows how current through a component varies with potential difference. Either quantity may be plotted on the horizontal axis, so you must read the labels carefully. Resistance at any specific point is always calculated using R = V/I, reading the coordinates directly from the graph, whether the line is curved or straight. The gradient only represents resistance (or conductance) for an ohmic conductor, where the graph is a straight line through the origin. A filament lamp curve shows resistance increasing as it heats up, while a diode conducts only above a forward threshold voltage. Always check the axes before extracting values for V and I.

    What earns the marks

    • Identifies which quantity is plotted on each axis before attempting any calculation from the characteristic graph.
    • Calculates resistance at any given point on the graph by reading the coordinates and using the equation R = V/I.
    • Recognises that for an ohmic conductor, the graph is a straight line through the origin, meaning resistance is constant and equals the inverse gradient of an I–V graph.
    • Describes the diode characteristic as having negligible reverse current and a forward threshold voltage before conduction becomes significant.
    • Explains the filament lamp curve in terms of increasing temperature raising the lattice vibration and so increasing resistance.

    Common mistakes and how to put them right

    • Assuming the horizontal axis is always voltage.

      Put it right: Read the axis labels first to correctly identify V and I values.

    • Calculating resistance of a non-ohmic component by taking the gradient of a tangent.

      Put it right: Resistance at a point is always V/I using the coordinates, not the gradient.

    • Stating that a decreasing gradient on an I–V graph means resistance is decreasing.

      Put it right: A decreasing gradient on an I–V graph (like a filament lamp) indicates that V/I is increasing, so resistance is increasing.

    Exam tips

    • Always read the coordinates for V and I at the specific point in question to calculate resistance using R = V/I.
    • Pay close attention to the axis labels and units, especially checking for milliamperes (mA) which must be converted to amperes (A).

    Try the lesson

    The start of the Current–voltage characteristics: Questions can be set where either I or V is on the horizontal axis of the characteristic graph. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A student plots a characteristic graph for a filament lamp with current I on the vertical axis and potential difference V on the horizontal axis. The graph is a curve with a decreasing gradient. If the student instead plots V on the vertical axis and I on the horizontal axis, what will be the shape of the resulting graph?

    Listen

    A current–voltage characteristic shows how current through a component varies with potential difference. Either quantity may be plotted on the horizontal axis, so you must read the labels carefully. Resistance at any specific point is always calculated using R = V/I, reading the coordinates directly from the graph, whether the line is curved or straight. The gradient only represents resistance (or conductance) for an ohmic conductor, where the graph is a straight line through the origin. A filament lamp curve shows resistance increasing as it heats up, while a diode conducts only above a forward threshold voltage. Always check the axes before extracting values for V and I. A strong answer earns marks for these points. Identifies which quantity is plotted on each axis before attempting any calculation from the characteristic graph. Calculates resistance at any given point on the graph by reading the coordinates and using the equation R = V/I. Recognises that for an ohmic conductor, the graph is a straight line through the origin, meaning resistance is constant and equals the inverse gradient of an I–V graph. Describes the diode characteristic as having negligible reverse current and a forward threshold voltage before conduction becomes significant. A common slip: Assuming the horizontal axis is always voltage. Instead, read the axis labels first to correctly identify V and I values. Exam tip: Always read the coordinates for V and I at the specific point in question to calculate resistance using R = V/I.

    See it

    A top-down flowchart. The first node is 'Characteristic graph', which leads to 'Check the axis labels first'. That leads to 'Identify which quantity is on the horizontal axis', then to 'Read coordinates for V and I at the point', then to 'Calculate resistance using R = V/I'. From this node three branches lead to 'Ohmic conductor: straight line through origin, resistance constant', 'Filament lamp: resistance increases as it heats up', and 'Diode: negligible reverse current, forward threshold voltage'.
    A sequence showing how to read a current–voltage characteristic graph, from checking the axes to calculating resistance with R = V/I and interpreting ohmic, filament lamp and diode shapes.

    Key words

    Say what each word means before you turn the card.

    Graph interpretation

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    Resistance calculation from coordinates

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    Ohmic and non-ohmic behaviour

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    Temperature dependence of resistance

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    See every definition
    Graph interpretation
    Reading the labels carefully to identify which quantity is plotted on each axis before extracting values for V and I.
    Resistance calculation from coordinates
    Reading the coordinates directly from the graph and using R = V/I, whether the line is curved or straight.
    Ohmic and non-ohmic behaviour
    For an ohmic conductor the graph is a straight line through the origin, while a filament lamp curve shows resistance increasing as it heats up.
    Temperature dependence of resistance
    Increasing temperature raises the lattice vibration and so increases resistance.

    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 first node is 'Characteristic graph', which leads to 'Check the axis labels first'. That leads to 'Identify which quantity is on the horizontal axis', then to 'Read coordinates for V and I at the point', then to 'Calculate resistance using R = V/I'. From this node three branches lead to 'Ohmic conductor: straight line through origin, resistance constant', 'Filament lamp: resistance increases as it heats up', and 'Diode: negligible reverse current, forward threshold voltage'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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