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GCSE Physics · GCSEChapter 5 · Circuits, current and potential difference
GCSE · Chapter 5

Circuits, current and potential difference

By the end of this chapter you will be able to

  • Name and draw the common circuit symbols
  • Calculate charge and current, and explain what current means
  • Calculate the energy transferred by a charge moving through a potential difference
  • State how current and potential difference behave in series and parallel circuits, and connect meters correctly

You should already know

  • Energy stores and transfers (Chapter 1)
  • Electrical transfers by a current (Chapter 1)

Where this leads

  • Resistance and I-V characteristics (Chapter 6)
  • Series and parallel resistance and power (Chapter 7)

GCSE Physics. Content follows the GCSE (9-1) subject content for England (Edexcel and AQA). Content references: Draw and recognise standard circuit symbols, Explain current as the flow of charge, measured in amperes; use Q = It, Explain potential difference (volts) as energy transferred per unit charge; use E = QV, State the rules for current and potential difference in series and parallel circuits, Connect an ammeter in series and a voltmeter in parallel.

Exercise P  Do you remember?

1
FWhat is 0.5 x 60? Write the number.
2
FWhat is 120 divided by 60? Write the number.
3
FWhat is the unit of energy? Write the unit.
4
FWhat is 9 minus 3.5? Write the number.
5
FWhich way does a current flow out of a cell: from the positive or from the negative terminal? Write positive or negative.
5.1

Circuit symbols and drawing circuits

GCSE
Draw and recognise standard circuit symbols
Video lesson: Circuit symbols and drawing circuitsComing soon
Context. Ruby is building a torch from a cell, a bulb and a switch. Her teacher asks her to draw the circuit so that someone else can build it. “Use the standard symbols,” says the teacher. Every circuit diagram in the world uses the same symbols.

A circuit diagram shows the parts of a circuit using standard symbols, joined by straight wires with a ruler. A complete circuit is a closed loop, so the current can flow all the way round. An open switch breaks the loop and stops the current.

cellbatterylampresistoropen switchclosed switchAammeterVvoltmeterdiodethermistorLDRfuse
Standard circuit symbols to learn
AAone loop: the same current flows through every part
A series circuit: a cell, an ammeter and a lamp, in one loop

Key ideas

  • A cell has a longer thin line and a shorter thick line; the longer line is the positive terminal.
  • A lamp is a circle with a cross inside it.
  • A closed switch makes a complete loop; an open switch does not.
  • Meters: ammeter (A), voltmeter (V). Both are drawn as circles.
Worked example 5.1.1
What is the symbol for a lamp? Write the name of the component.

Method. Recall the shape of the lamp symbol.

  1. Look. A lamp is a circle with a cross in it.
    circle with cross
  2. Name. That symbol means a lamp.
    lamp
  3. Write the answer.
    lamp

Check. A resistor is a rectangle, and a thermistor is a resistor with a slant line. ✓

Worked example 5.1.2
In a diagram, a switch is drawn open. Is the circuit complete? Write yes or no.

Method. Think about whether the loop is closed.

  1. Look. An open switch breaks the loop.
    loop broken
  2. Decide. So the current cannot flow round the circuit.
    no current
  3. Write the answer.
    no

Check. Closing the switch completes the loop. ✓

Worked example 5.1.3
Which symbol is a meter that measures current? Write the letter on the meter.

Method. Recall the letter shown on each meter.

  1. Look. An ammeter has the letter A inside the circle.
    A
  2. Name. Ammeters measure current in amperes.
    ammeter
  3. Write the answer.
    A

Check. The voltmeter has the letter V inside the circle. ✓

Watch out

Watch out: a battery is more than one cell. In a diagram, one cell is one pair of lines; a battery has several pairs.

Exam tip

Exam tip. Draw circuits with a ruler, and use the same symbols as the diagrams in your textbook. Do not draw the wires crossing without a dot.

Exercise 5A  Symbols and drawing

1
FWhat is the symbol for a resistor? Write the shape: rectangle or circle.
2
FWhat is the symbol for an ammeter? Write the letter.
3
FWhat is the symbol for a voltmeter? Write the letter.
4
FName the component that lets current flow in only one direction. Write the word.
5
FName the component that protects a circuit by melting if the current is too large. Write the word.
6
FName the component whose resistance falls when light falls on it. Write the letters.
7
FName the component whose resistance changes with temperature. Write the word.
8
FIn a circuit diagram, two wires cross each other with a dot where they meet. Are they connected? Write yes or no.
9
FDraw a series circuit with a cell, a lamp and a switch. Write the number of loops in the circuit.
10
PSWrite the names of the two components in the series circuit from section 5.1 other than the cell. Write two names.
11
PSA pupil draws a circuit with a switch that is open, and says current flows through the lamp. Is the pupil right? Write yes or no.
12
PSDraw a circuit with a cell, a lamp and a voltmeter across the lamp. Which symbol is the voltmeter? Write V or A.
13
RExplain why a circuit diagram is useful when building a circuit, in one sentence. Accept any sentence that says it shows the parts and how they are connected, so that others can build the circuit.
14
RA pupil says “the circuit works because the cell has a long line and a short line.” Explain what this means, in one sentence. Accept any sentence that says the long line is the positive terminal.
5.2

Current and charge

GCSE
Explain current as the flow of charge, measured in amperes; use Q = It
Video lesson: Current and chargeComing soon
Context. Mr Singh is charging a phone. He notices that a charger pushes a steady flow of electrons through the wires. “How much charge goes through in a minute?” he asks. We measure the flow of charge with the current, and the total charge with the equation Q = I t.

Current is the rate of flow of charge. It is measured in amperes (A), where 1 A is 1 coulomb of charge passing a point each second. The charge carriers in a metal wire are electrons, which move from the negative to the positive terminal. By convention, the current is shown flowing from the positive terminal to the negative. The total charge is found using Q = I x t, where Q is in coulombs (C), I is in amperes and t is in seconds.

Charge against time for a current of 2 A0246801234time (s)charge (C)
Charge against time for a steady current of 2 A: the gradient is the current

Key ideas

  • Current I is the charge passing a point each second: I = Q / t.
  • Charge Q = I x t, in coulombs (C).
  • 1 A = 1 C/s.
  • Ammeters measure the current in amperes.
Worked example 5.2.1
A current of 0.5 A flows for 60 s. How much charge passes? Write the number of coulombs.

Method. Use Q = I x t.

  1. Take the numbers. I = 0.5 A and t = 60 s.
    I = 0.5, t = 60
  2. Multiply. Q = 0.5 x 60 = 30 C.
    0.5 x 60 = 30
  3. Write the answer.
    30 C

Check. 30 / 60 = 0.5 A. ✓

Worked example 5.2.2
120 C of charge flows past a point in 60 s. What is the current? Write the number of amperes.

Method. Use I = Q / t.

  1. Take the numbers. Q = 120 C and t = 60 s.
    Q = 120, t = 60
  2. Divide. I = 120 / 60 = 2 A.
    120 / 60 = 2
  3. Write the answer.
    2 A

Check. 2 x 60 = 120 C. ✓

Worked example 5.2.3
A current of 3 A flows for 5 minutes. How much charge flows? Write the number of coulombs.

Method. Convert the time to seconds, then use Q = I x t.

  1. Convert. 5 minutes = 300 s.
    300 s
  2. Multiply. Q = 3 x 300 = 900 C.
    3 x 300 = 900
  3. Write the answer.
    900 C

Check. 900 / 300 = 3 A. ✓

Watch out

Watch out: convert minutes into seconds before you use Q = I t. 5 minutes is 300 s, not 5 s.

Exam tip

Exam tip. The unit of current is the ampere (A). Do not write “amp” for the coulomb, which is the unit of charge.

Exercise 5B  Calculating charge and current

1
FA current of 2 A flows for 10 s. Calculate the charge. Write the number of coulombs.
2
FA current of 0.3 A flows for 20 s. Calculate the charge. Write the number of coulombs.
3
F60 C of charge passes a point in 30 s. Calculate the current. Write the number of amperes.
4
FA current of 4 A passes for 2 minutes. Calculate the charge. Write the number of coulombs.
5
FA current of 1.5 A flows for 4 s. Calculate the charge. Write the number of coulombs.
6
PSA current of 250 mA flows for 10 s. Convert the current to amperes, then calculate the charge. Write the number of coulombs.
7
FA charge of 45 C passes through a lamp in 15 s. What is the current? Write the number of amperes.
8
PSA cell drives a current of 0.8 A for 25 s. What charge does it move? Write the number of coulombs.
9
PSA torch bulb carries 0.5 A for 3 minutes. How many coulombs pass through it? Write the number.
10
RIn one sentence, explain what a current of 1 A means. Accept any sentence that says 1 coulomb of charge passes a point each second.
11
RA pupil says “current is used up as it goes round the circuit.” Explain why this is wrong. Accept any answer that says the charge is conserved, so the current is the same at all points in a series loop.
12
PSA current of 2 A flows for 5 minutes. How much charge flows? Write the number of coulombs.
13
PSA charge of 3600 C flows in 1 hour. Find the current. Write the number of amperes.
14
RExplain in one sentence why the electrons move slowly, but the current is large enough to light a lamp at once. Accept any sentence that says the electrons pass on the energy to each other, so the effect is almost instant.
5.3

Potential difference and energy transferred

GCSE
Explain potential difference (volts) as energy transferred per unit charge; use E = QV
Video lesson: Potential difference and energy transferredComing soon
Context. A cell is rated at 12 V. Mr Lee asks his class what the 12 volts means. “It is a measure of how much energy each coulomb of charge gets,” says a pupil. That is correct: the potential difference, or pd, tells us the energy transferred per unit charge.

The potential difference (pd) between two points is the energy transferred for each coulomb of charge that passes between them. It is measured in volts (V), where 1 V = 1 J/C. The equation is E = Q x V, so V = E / Q. A component with a larger pd transfers more energy to each coulomb of charge.

Key ideas

  • Potential difference V = energy transferred per coulomb: V = E / Q.
  • Energy transferred: E = Q x V, in joules.
  • 1 V = 1 J/C.
  • Voltmeters measure pd in volts, connected across the component.
Worked example 5.3.1
A cell has a pd of 12 V. How much energy is given to each coulomb of charge? Write the number of joules.

Method. Use the definition: 1 V = 1 J/C.

  1. Take the numbers. V = 12 V, so each coulomb gains 12 J.
    V = 12
  2. Write. E per coulomb = 12 J.
    12 J/C
  3. Write the answer.
    12 J

Check. 12 J/C is the same as 12 V. ✓

Worked example 5.3.2
A charge of 30 C passes through a lamp with a pd of 12 V. How much energy is transferred? Write the number of joules.

Method. Use E = Q x V.

  1. Take the numbers. Q = 30 C and V = 12 V.
    Q = 30, V = 12
  2. Multiply. E = 30 x 12 = 360 J.
    30 x 12 = 360
  3. Write the answer.
    360 J

Check. 360 / 30 = 12 V. ✓

Worked example 5.3.3
A total of 240 J of energy is transferred to 20 C of charge. Find the pd. Write the number of volts.

Method. Use V = E / Q.

  1. Take the numbers. E = 240 J and Q = 20 C.
    E = 240, Q = 20
  2. Divide. V = 240 / 20 = 12 V.
    240 / 20 = 12
  3. Write the answer.
    12 V

Check. 12 x 20 = 240 J. ✓

Watch out

Watch out: pd is measured in volts, not amperes. Energy is in joules, and charge is in coulombs.

Exam tip

Exam tip. Use the units to check: E = QV gives J = C x V, which is right because 1 V = 1 J/C.

Exercise 5C  Potential difference and energy

1
FA charge of 10 C passes through a component with a pd of 6 V. Calculate the energy transferred. Write the number of joules.
2
FA charge of 5 C passes through a lamp and 50 J of energy is transferred. Find the pd. Write the number of volts.
3
FA pd of 9 V moves 4 C of charge. Calculate the energy transferred. Write the number of joules.
4
FA component transfers 100 J of energy to 25 C of charge. Find the pd. Write the number of volts.
5
FHow many joules does 1 C of charge gain when it passes through a 1.5 V cell? Write the number.
6
PSA 12 V car battery transfers energy to a starter motor. 600 C passes through the motor. Calculate the energy transferred. Write the number of joules.
7
PSA pd of 230 V is across a heater. A charge of 2 C passes through it. Calculate the energy transferred. Write the number of joules.
8
PSEnergy of 180 J is transferred to 12 C of charge in a component. Find the pd. Write the number of volts.
9
FA pd of 3 V is applied across a lamp. How much energy does 2 C of charge gain? Write the number of joules.
10
RIn one sentence, explain what is meant by a pd of 1 V across a component. Accept any sentence that says 1 J of energy is transferred for each coulomb of charge.
11
RA pupil says a pd of 6 V means 6 coulombs of charge flow each second. Explain why this is wrong. Accept any answer that says volts are energy per unit charge, not a rate of charge flow (which is current in amperes).
12
PSA cell transfers 360 J to a circuit in total, and 12 C of charge passes round the circuit. Find the pd of the cell. Write the number of volts.
13
PSA kettle is connected to 230 V. In 60 s, 300 C of charge passes through its heater. Calculate the energy transferred. Write the number of joules.
5.4

Series and parallel circuits: current and pd

GCSE
State the rules for current and potential difference in series and parallel circuits, Connect an ammeter in series and a voltmeter in parallel
Video lesson: Series and parallel circuits: current and pdComing soon
Context. Ahmed has two lamps. He connects them one after the other in a single loop, and then side by side on two branches. “Why are they different brightness?” he asks. The answer lies in the rules for current and pd in each type of circuit.

In a series circuit there is one path for the current. The current is the same at every point. The pd of the cell is shared between the components, so the pd across all the components adds up to the cell pd.

In a parallel circuit there are two or more branches. The current splits at each junction, and the total current is the sum of the branch currents. The pd is the same across each branch, equal to the pd of the cell.

cellL1L2two branches: each lamp has the full pd of the cell
A parallel circuit: the cell pd is across each branch, and the current splits
celllampVVvoltmeter in parallel with the lamp: it reads the pd across it
A voltmeter connected in parallel across a lamp
MeterWhat it measuresUnitHow it is connected
ammetercurrentamperes (A)in series, in the loop, so all the current flows through it
voltmeterpotential difference (pd)volts (V)in parallel, across the component being measured
How to connect an ammeter and a voltmeter
RuleSeriesParallel
currentthe same at every pointsplits; the total is the sum of the branch currents
potential differenceshared between the components; the total is the sumthe same across each branch as the source
The rules for current and pd

Key ideas

  • Series: current is the same everywhere. The pd of the cell is shared.
  • Parallel: the current splits at junctions. The pd across each branch is the same as the cell.
  • An ammeter is connected in series. A voltmeter is connected in parallel.
  • The total pd of a series loop is the sum of the pd across each component.
Worked example 5.4.1
In a series circuit, the cell has a pd of 9 V. One lamp has a pd of 3.5 V across it. What is the pd across the other lamp? Write the number of volts.

Method. In series, the pd is shared, so the parts add to the total.

  1. Look. The pd is shared, so the two lamp pds add up to the cell pd of 9 V.
    shared
  2. Subtract. The other lamp has 9 - 3.5 = 5.5 V across it.
    9 - 3.5 = 5.5
  3. Write the answer.
    5.5 V

Check. 3.5 + 5.5 = 9 V. ✓

Worked example 5.4.2
In a parallel circuit, the total current from the cell is 1.5 A. One branch carries 0.5 A. What is the current in the other branch? Write the number of amperes.

Method. The current splits, so the branch currents add up to the total.

  1. Look. The branch currents add up to the total current from the cell.
    add to total
  2. Subtract. The other branch has 1.5 - 0.5 = 1.0 A.
    1.5 - 0.5 = 1.0
  3. Write the answer.
    1.0 A

Check. 0.5 + 1.0 = 1.5 A. ✓

Worked example 5.4.3
Two identical lamps are in series with a 12 V cell. What is the pd across each lamp? Write the number of volts.

Method. The pd is shared equally between identical lamps in series.

  1. Look. The lamps are identical, so they share the pd equally.
    equal share
  2. Share. The 12 V is shared between two identical lamps, so 12 / 2 = 6 V each.
    12 / 2 = 6
  3. Write the answer.
    6 V

Check. 6 + 6 = 12 V. ✓

Watch out

Watch out: a voltmeter never goes in series, and an ammeter never goes in parallel. Connecting them the wrong way can break the circuit or give a wrong reading.

Exam tip

Exam tip. In parallel, say “the current splits” and “the pd is the same across each branch”. In series, say “the current is the same” and “the pd is shared”.

Exercise 5D  Series and parallel current and pd

1
FIn a series circuit, the current at one point is 0.4 A. What is the current at another point in the same loop? Write the number of amperes.
2
FIn a parallel circuit, a branch has 0.2 A and the other has 0.4 A. What is the total current from the cell? Write the number of amperes.
3
FTwo identical lamps are in parallel across a 6 V cell. What is the pd across each lamp? Write the number of volts.
4
FThree identical lamps are in series with a 9 V cell. What is the pd across each lamp? Write the number of volts.
5
FWhat is the position of an ammeter in a circuit? Write series or parallel.
6
FWhat is the position of a voltmeter? Write series or parallel.
7
FIn a series circuit with a 12 V cell and two lamps, one lamp has 4 V. What is the pd across the other lamp? Write the number of volts.
8
PSThree branches in a parallel circuit carry 0.1 A, 0.25 A and 0.15 A. What is the total current from the cell? Write the number of amperes.
9
FA 12 V cell is across two lamps in parallel. What is the pd across each lamp? Write the number of volts.
10
FThree identical lamps are in series. What is the current through the second lamp, if the first carries 0.5 A? Write the number of amperes.
11
RIn a parallel circuit, one lamp is removed and the other lamp stays on. Explain what happens to the total current, in one sentence. Accept any sentence that says the total current falls, because there is one less branch to carry current.
12
PSA pupil says that in a parallel circuit the pd across each lamp is shared. Is the pupil right? Write yes or no.
13
RExplain why a lamp in a parallel circuit stays bright when another lamp is removed, in one sentence. Accept any sentence that says each lamp has the full cell pd across it, so it is unaffected by removing the other.
14
PSIn a series circuit, a 12 V cell is across three lamps. The pds across two lamps are 4 V and 5 V. What is the pd across the third lamp? Write the number of volts.
15
PSA current of 1.2 A splits between two branches, and one branch carries 0.7 A. Work out the current in the other branch. Write the number of amperes.

Chapter summary

SkillMethod
Draw circuitsUse standard symbols, with a ruler; a dot shows a junction
Current and chargeI = Q / t; Q = I x t; 1 A = 1 C/s
Potential differenceV = E / Q; E = Q x V; 1 V = 1 J/C
Series rulesCurrent is the same; pd is shared and adds to the cell pd
Parallel rulesCurrent splits and adds to the total; pd is the same across each branch

Can you…?

  • I can draw and recognise the common circuit symbols
  • I can use Q = It and I = Q/t
  • I can use E = QV and V = E/Q
  • I can state the current and pd rules in series and parallel
  • I can connect an ammeter in series and a voltmeter in parallel

Key terms

current
the flow of charge; measured in amperes (A)
charge
a quantity measured in coulombs (C)
potential difference (pd)
energy transferred per unit charge, measured in volts (V)
series circuit
a circuit with one path for the current
parallel circuit
a circuit with two or more branches, each with the full pd of the cell
ammeter
a meter that measures current, connected in series
voltmeter
a meter that measures pd, connected in parallel

Exercise 5Z  Check-up

1
Calculate the charge when a current of 3 A flows for 10 s. Write the number of coulombs.
2
Calculate the current when 50 C of charge flows in 10 s. Write the number of amperes.
3
Calculate the energy transferred when 8 C passes through a pd of 5 V. Write the number of joules.
4
Calculate the pd when 60 J of energy is transferred to 4 C. Write the number of volts.
5
In a series circuit, a 6 V cell is across two identical lamps. What is the pd across each lamp? Write the number of volts.
6
Which meter is connected in series? Write the name: ammeter or voltmeter.
7
In a parallel circuit, the branch currents are 0.3 A and 0.9 A. What is the total current? Write the number of amperes.
8
A cell of 1.5 V is connected to a component. How much energy does each coulomb gain? Write the number of joules.
9
A pupil says current and pd are the same thing. Is the pupil right? Write yes or no.
10
A current of 2 A flows for 2 minutes through a lamp with a pd of 6 V. How much energy is transferred? Write the number of joules.

Total 25 marks. Allow about 25 minutes.

Exercise 5X  Exam-style questions

1
FName the meter that measures current, and say how it is connected in a circuit. Write the answer as: name, then connection.[2 marks]
2
FA current of 0.25 A flows for 40 s. Calculate the charge that passes. Write the number of coulombs.[2 marks]
3
FA component has a pd of 12 V. Calculate the energy transferred when 5 C of charge passes through it. Write the number of joules.[2 marks]
4
FThree identical lamps are in series with a 12 V cell. Calculate the pd across each lamp. Write the number of volts.[2 marks]
5
PSA parallel circuit has a total current of 2.4 A, and one branch carries 1.1 A. Calculate the current in the other branch. Write the number of amperes.[2 marks]
6
PSA cell gives 1200 J of energy to 40 C of charge. Calculate the pd of the cell. Write the number of volts.[2 marks]
7
PSA current of 3 A flows through a lamp for 2 minutes. The pd across the lamp is 6 V. Calculate the energy transferred. Write the number of joules.[3 marks]
8
PSIn a series circuit with a 9 V cell, two lamps have pds of 2.5 V and 4 V. Calculate the pd across a third component in the loop. Write the number of volts.[3 marks]
9
RDescribe how to connect an ammeter and a voltmeter to measure the current through and the pd across a lamp in a single loop. Accept any answer that puts the ammeter in series and the voltmeter in parallel across the lamp.[3 marks]
10
RA pupil says a current of 2 A through a lamp means 2 J of energy is transferred each second. Explain why this is not correct, and state what the 2 A tells us. Accept any answer that says the current is charge per second, and the energy depends on the pd as well.[4 marks]

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