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4.2.11Electricity and Magnetism

Investigating Resistance — Cambridge IGCSE Co-ordinated Sciences 0654 - Physics Revision Notes & Topical Questions

5 min read 7 parts Lesson 15 of 31

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Part 1 of 5Aim and variables

TypeQuantityNotes
IndependentLength of resistance wire, L (cm)Changed in steps of 10 cm from 10 cm to 100 cm
DependentResistance of the wire, R (Ω)Calculated from the voltmeter and ammeter readings
ControlVoltage of the supplyKeep the power supply setting the same, for example 1.5 V
ControlTemperature of the wireUse small currents and switch off between readings
ControlMaterial and thickness of the wireUse one piece of thin resistance wire throughout

Part 2 of 5Equipment and what each item does

Circuit parts
  • Circuit parts A power supply or cell provides the voltage, and connecting wires join everything together.
  • An ammeter in series measures the current, and a voltmeter in parallel across the wire measures the voltage.
Wire and measuring length
  • Wire and measuring length A thin length of resistance wire is stretched alongside a metre rule so that its length can be read.
  • Crocodile clips connect the wire into the circuit and can be slid along to choose the length.
Resolution
  • Resolution The metre rule reads to 1 mm, the ammeter to 0.01 A and the voltmeter to 0.1 V;
    • the smallest scale division limits how precise the results can be.

Part 3 of 5Method

1
Fix the resistance wire along the metre rule and set the power supply to 1.5 V.
2
Connect two crocodile clips 10 cm apart on the wire, and connect the clips into a series circuit with the ammeter, with the voltmeter in parallel across the wire between the clips.
3
Switch on and record the voltmeter and ammeter readings, then switch off.
4
Move the clip to increase the length by 10 cm and repeat the measurements.
5
Continue until the clips are 1 m apart, giving ten pairs of readings.
6
Repeat the experiment and calculate mean values for each length.

Part 4 of 5Analysis

1Calculate resistance
  • Calculate resistance For every length use R = V ÷ I, where R is in ohms (Ω), V in volts (V) and I in amps (A).
2Plot a graph
  • Plot a graph Draw resistance on the y-axis against length on the x-axis, and add a line of best fit.
3Describe the shape
  • Describe the shape The graph is a straight line through the origin with a positive gradient.
4Conclude
  • Conclude Resistance is directly proportional to the length of the wire: doubling the length doubles the resistance.

Part 5 of 5Evaluation and safety

Systematic errors
  • Systematic errors Check that the first clip is at 0 on the rule and that both meters read zero before the circuit is switched on.
Random errors
  • Random errors A hot wire has higher resistance, so keep the current low and switch off between readings to hold the temperature constant.
  • Repeat readings and take means to reduce the effect of random variation.
Safety
  • Safety A high current in a thin wire heats it, so never touch the wire while the circuit is on and switch off at once if you smell burning.
  • Keep liquids away from the electrical equipment.

Key terms

TermMeaning
ResistanceA measure of how hard it is for current to flow through a component, measured in ohms (Ω).
Directly proportionalTwo quantities where one doubles when the other doubles, giving a straight line through the origin.
AmmeterA meter connected in series that measures current in amps.
Systematic errorAn error that shifts all readings in the same direction, such as a zero error.
Line of best fitA line drawn to pass as close as possible to all the plotted points.

Avoid these mistakes

1
Leaving the current on between readings, so the wire warms up and its resistance rises.
2
Connecting the voltmeter in series or the ammeter in parallel.
3
Not using the zero point on the ruler, which gives a length that is wrong by a fixed amount.
4
Drawing a curved line through the points instead of a straight line of best fit through the origin.
5
Writing R = I ÷ V. The equation is R = V ÷ I.

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