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Resistance and Resistivity

  • 9 subtopics
  • 27 things to know
  • Unit AS 1

What Resistance and Resistivity covers

Resistance and Resistivity is examined in Unit AS 1, Forces, Energy and Electricity, and drawn on again in Unit AS 3, Practical Techniques and Data Analysis. It covers resistance and Ohm's law, ohmic and non-ohmic behaviour, resistors in series and in parallel, Investigating current, voltage and resistance in series and parallel circuits, electrical power and energy in resistive circuits, resistivity and the equation R = ρl/A, measuring the resistivity of a metal, current–voltage characteristics of a conductor, a lamp and a diode and resistance, temperature and superconductivity.

Where it is assessed

Unit AS 1

Forces, Energy and Electricity, and again in Unit AS 3, Practical Techniques and Data Analysis.

Check the CCEA specification ↗

The 9 subtopics

Each one has its own page. CCEA AS Physics students sit this topic in the first year.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation defining resistance and give the unit of each symbol.

Key term

Why must the line on a current–voltage graph pass through the origin before a component can be called ohmic, and not merely be straight?

Key term

Explain why the total resistance of a parallel combination is always less than the smallest individual resistance.

Key term

Describe how to verify experimentally that resistances add when resistors are connected in series.

Key term

Describe how to verify experimentally the rule for resistors connected in parallel.

Key term

When verifying the series and parallel resistor rules, why should the current be kept small and the circuit switched off between readings?

Key term

State the equation for the power dissipated in a resistor in terms of current and resistance, and define every symbol.

Key term

State the equation for the power dissipated in a resistor in terms of potential difference and resistance.

Numbers

A current of 3.0 A flows through an 8.0 Ω resistor for 2.0 minutes. Calculate the energy dissipated.

Key term

State the equation relating resistance to resistivity and define every symbol with its unit.

Key term

Outline the method used to determine the resistivity of a metal wire.

Key term

Why is a potential divider preferred to a rheostat in series when a characteristic is being obtained?

Key term

Explain the shape of the current–voltage characteristic of a filament lamp.

Numbers

A filament lamp carries 0.25 A at 2.0 V and 0.50 A at 6.0 V. Calculate its resistance at each point and comment.

Key term

How does the resistance of a metallic conductor change as its temperature rises?

Key term

Define the resistance of a component.

Key term

What is meant by describing a component as non-ohmic?

Key term

State the equation for the total resistance of resistors connected in series.

Key term

State the SI unit of resistivity and show how it follows from the defining equation.

Key term

When measuring the resistivity of a metal, how should the diameter of the wire be measured, and what precautions are needed?

Key term

Explain in terms of the structure of a metal why its resistance rises with temperature.

Key term

Define the ohm.

Key term

What test would you apply to a set of current and voltage readings to decide whether a component is ohmic?

Key term

State the equation for the total resistance of resistors connected in parallel.

Key term

How does the resistance of a wire depend on its length, at constant cross-sectional area and temperature?

Key term

How is the cross-sectional area of a circular wire calculated from its diameter?

Key term

How does the resistance of a negative temperature coefficient thermistor change as its temperature rises?

Take Resistance and Resistivity further

The same content, four other ways.

Questions from this topic

Each one with the model answer underneath.

  1. 1

    Define the resistance of a component.

    Model answer

    The resistance of a component is the potential difference across it divided by the current through it, R = V/I.

  2. 2

    State the equation defining resistance and give the unit of each symbol.

    Model answer

    The equation is R = V/I, where R is the resistance in ohms, V the potential difference in volts and I the current in amperes.

  3. 3

    Define the ohm.

    Model answer

    One ohm is the resistance of a component in which a potential difference of one volt drives a current of one ampere, so 1 Ω = 1 V A⁻¹.

  4. 4

    State Ohm's law.

    Model answer

    The current through a conductor is directly proportional to the potential difference across it, provided the temperature and other physical conditions remain constant.

  5. 5

    Why does the statement of Ohm's law include the condition that the temperature stays constant?

    Model answer

    The resistance of most conductors changes with temperature, so if a large current warms the conductor the ratio of potential difference to current alters and the proportionality is destroyed.

  6. 6

    A potential difference of 12 V drives a current of 0.40 A through a resistor. Calculate its resistance.

    Model answer

    The resistance is R = V/I = 12 ÷ 0.40 = 30 Ω, and 0.40 A × 30 Ω returns the 12 V as a check.

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Resistance and Resistivity revision questions

Is Resistance and Resistivity examined at AS in CCEA Physics?
Yes. It sits in Unit AS 1, which you take in the first year, so it is on the AS paper as well as counting towards the full A level.
What does Resistance and Resistivity cover in CCEA AS-Level Physics?
9 subtopics: resistance and ohm's law, ohmic and non-ohmic behaviour, resistors in series and in parallel, investigating current, voltage and resistance in series and parallel circuits, electrical power and energy in resistive circuits, resistivity and the equation r = ρl/a, measuring the resistivity of a metal, current–voltage characteristics of a conductor, a lamp and a diode and resistance, temperature and superconductivity. Each one has its own page with questions and model answers.
How is Resistance and Resistivity organised?
By the CCEA 1210 specification, subtopic by subtopic, so it matches the order you are taught it in.

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