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Current resistance and potential difference - Completed Notes.docx

The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026.

AQA GCSE PHYSICS · PAPER 1 · FOUNDATION & HIGHER

Current, resistance and potential difference

Electricity · Lesson 2 of 10

Warm-up

Answer each one, then check.

1. Write the unit of resistance.

Ohm (Ω)

2. What is the unit of potential difference?

Volt (V)

3. Where is a voltmeter connected?

In parallel across the component

4. What does a longer wire do to resistance?

Increases it

5. What is a current?

A flow of charge

Learning Objectives

1. Explain that current depends on resistance and potential difference.

2. Recall and apply V = IR.

3. Describe how to investigate the resistance of a wire and of combinations of resistors (Required Practical 3).

4. Interpret graphs of resistance against length.

V = Ir

potential difference = current × resistance V = IR

The greater the resistance of a component, the smaller the current for a given potential difference across it. Questions use the term potential difference; voltage also gains credit.

Required Practical 3: Resistance of a Wire

Change only the length of wire between the clips.

A circuit with a cell, switch and ammeter in series with a wire on a metre rule, and a voltmeter across the length of wire being tested.

Method: Resistance and Length of a Wire

Required Practical 3, part 1.

1

Set up

Connect the circuit with the ammeter in series and the voltmeter across the wire.

2

Set the length

Clip the crocodile clips at 0.20 m, and record the pd and current.

3

Switch off between readings

This keeps the wire at a constant temperature.

4

Repeat

Take readings at 0.40 m, 0.60 m, 0.80 m and 1.00 m.

5

Calculate

For each length R = V ÷ I.

6

Plot

Draw a graph of resistance against length: a straight line through the origin.

Method: Resistors in Series and Parallel

Required Practical 3, part 2.

1

Series

Connect known resistors in series, measure V and I, calculate R = V ÷ I.

2

Parallel

Repeat with the same resistors in parallel.

3

Compare

The series combination has a larger resistance than either resistor; the parallel combination has a smaller one.

Calculating Current

A 12 V battery is connected across a 4.0 Ω resistor. Calculate the current.

 

1. Rearrange

I = V ÷ R

2. Substitute

I = 12 ÷ 4.0

3. Answer

I = 3.0 A

Answer: 3.0 A

Calculating Potential Difference

A current of 0.50 A flows through a 20 Ω resistor. Calculate the potential difference across it.

 

1. Write the equation

V = IR

2. Substitute

V = 0.50 × 20

3. Answer

V = 10 V

Answer: 10 V

Calculating Resistance

A voltmeter reads 6.0 V and an ammeter reads 20 mA. Calculate the resistance.

 

1. Convert the current

20 mA = 0.020 A

2. Rearrange

R = V ÷ I

3. Substitute

R = 6.0 ÷ 0.020

4. Answer

R = 300 Ω

Answer: 300 Ω

Getting Good Results

Why we switch off between readings.

▸ Heating. A current makes the wire hotter, and a hotter metal wire has a higher resistance.

▸ Constant temperature. Use a low current and switch off between readings.

▸ Zero errors. Check the meters read zero before starting.

▸ Repeat. Repeat and average to reduce random errors.

Key Terms

Resistance

How much a component opposes the flow of current.

Ohm

The unit of resistance (Ω).

Potential difference

The energy transferred per coulomb; measured in volts.

Voltmeter

Measures pd; connected in parallel.

Constant temperature

Kept the same so the resistance does not change for other reasons.

Directly proportional

Doubling one quantity doubles the other.

Your Task: Predict the Graph

10 minutes

A student measures the resistance of 20 cm, 40 cm, 60 cm, 80 cm and 100 cm of a wire. What does the graph of resistance against length look like? A 30 cm length has a resistance of 1.8 Ω; what is the resistance of 90 cm?

1. Sketch the axes.

2. Use the ratio of lengths.

A good answer shows: A straight line through the origin: resistance is directly proportional to length. 90 cm is three times as long, so R = 5.4 Ω.

Can I...?

☐ Recall V = IR.

☐ Rearrange for I or R.

☐ Convert mA to A.

☐ Describe the resistance of wire method.

☐ Explain why the wire is switched off between readings.

☐ Draw a graph of R against length.

☐ Say what happens to resistance in series and parallel.

☐ Use the correct units.

Summary

✓ V = IR.

✓ Ammeter in series, voltmeter in parallel.

✓ Longer wire means greater resistance.

✓ Switch off between readings to keep the temperature constant.

 

EXAM FOCUS

A potential difference of 9.0 V is applied across a resistor and the current is 0.30 A. Calculate the resistance. (2 marks)

State the equation, substitute and give the unit Ω.