P5.3

Potential difference

Indicative relationship: Activate 3 · Electricity and Magnetism
KS3 science lesson

Potential difference

Lesson focus: measures energy transferred per unit charge between two points and is measured across a component.

Learning objective

Measure and calculate potential difference, connect correctly and interpret source and component voltages.

Build on earlier learning

Circuits and current

Current described charge flow. Potential difference now describes the energy transferred for each coulomb of that charge.

Practical

Measuring potential difference

  1. Connect a voltmeter in parallel across the cell, then across each bulb.
  2. Compare the readings.
  3. Use the model on this page to see how the potential difference is shared.

Record: Voltmeter readings across each component.

Interactive model

Circuit builder

Choose how the bulbs are connected, add bulbs and change the cell. The meters read like real ones.

A0.50 AV3.0 V3.0 V

Build the circuit

Connection
1
3.0 V
Current from the cell0.50 A
Current through each bulb0.50 A
Potential difference across each bulb3.0 V

Each bulb has a resistance of 6 Ω (illustrative). Brighter bulbs transfer more energy each second.

You will be successful when you can…

  • Define potential difference.
  • Use V = E ÷ Q.
  • Connect a voltmeter in parallel.
  • Interpret source and component readings.
KEY VOCABULARY

Words that carry the science

potential difference
Energy transferred per unit charge between two points.
volt
One joule transferred per coulomb of charge.
voltmeter
A high-resistance meter connected across two points.
cell
A source that maintains a potential difference using a chemical energy store.
energy transfer
Change in the energy stored by a system, measured in joules.
parallel connection
A connection across the same two circuit points.
BUILD YOUR UNDERSTANDING

Voltage is an energy-per-charge quantity

01Voltage is an energy-per-charge quantity

is given by V = E ÷ Q. One means one joule of energy is transferred per coulomb of charge.

A 6 V source transfers 6 J to the circuit for each coulomb passing through it. A 6 V component transfers 6 J from the electrical pathway for each coulomb passing through that component.

02A voltmeter compares two points

A is connected across a component. It has very high resistance so little current passes through the meter and the circuit is disturbed as little as possible.

Connecting a voltmeter in series can greatly reduce circuit current and does not measure the intended component potential difference.

03Cells supply; components transfer

in series with the same orientation provide potential differences that add. Reversing one cell makes its effect oppose the others.

Around a complete loop, the potential rises supplied by sources equal the potential drops across components, within measurement uncertainty. This is an energy account per coulomb.

A six-volt cell raises an energy-per-coulomb account by six joules. A lamp transfers those six joules per coulomb. A voltmeter is connected across the lamp terminals.6 V = 6 J transferred per coulombcell supplies 6 J C⁻¹Vlamp transfers 6 J C⁻¹each coulomb continuespotential rise from source = potential drop across component
Figure · One volt is one joule per coulomb. A voltmeter compares two points and is connected in parallel across a component.
WORKED EXAMPLE

Find energy transferred

A motor has 9.0 V across it while 15 C passes.

  1. Use V = E ÷ Q.
  2. Rearrange to E = V × Q.
  3. Substitute E = 9.0 × 15.
  4. Calculate E = 135 J.

How to make the reasoning visible: The motor transfers 135 joules from the electrical pathway for that charge.

LEARN BY DOING

Circuit-measurement

All readings are from idealised steady circuits.

TestSource / VComponent reading / VInterpretation
single lamp3.03.03 J transferred per C
two equal series lamps6.03.0 eachdrops share equally
motor + lamp series9.05.5 and 3.5drops sum to source
two cells opposed3.0 and 1.51.5 totalsource effects oppose
voltmeter in series6.0circuit current nearly zeroincorrect connection
  1. Why do the motor and lamp readings in row 3 add to 9.0 V?

  2. Why should a voltmeter have high resistance?

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

What does one volt mean?

How is a voltmeter connected?

What does a cell supply?

Apply the idea

A 12 V lamp transfers energy as 20 C passes. Calculate the energy.

Stretch and challenge

Why can two components have the same current but different potential differences in series?

Exam Question Practice

P5.3Explain5 marks

Exam Question Practice

Mark points shown after marking

A 9 V battery is connected to two different lamps in series. Voltmeters across the lamps read 6 V and 3 V.

(a)

State what a potential difference of 1 V means.

(1)
(b)

Explain the voltmeter readings.

(4)

Total for this question: 5 marks

Command word: For , translate every voltage into joules per coulomb and balance the loop.

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