Unit 5 · Electricity and D.C. Circuits
Unit 5 · Electricity and D.C. Circuits
- The Complete Cambridge International AS & A Level Physics (9702) Guide
- Cambridge International AS & A Level Physics (9702)
- 12 sections
Cambridge International does not publish a per-unit weighting for this exam. Exam structure (official): AS Level: Multiple Choice (75 min, 40 questions, 31%) · AS Level Structured Questions (75 min, 46%) · Advanced Practical Skills (120 min, 2 questions, 23%); A Level: Multiple Choice (75 min, 40 questions, 15.5%) · AS Level Structured Questions (75 min, 23%) · Advanced Practical Skills (120 min, 2 questions, 11.5%) · A Level Structured Questions (120 min, 38.5%) · Planning, Analysis And Evaluation (75 min, 2 questions, 11.5%). Be ready to carry the same unit skills and representations into a complete answer on every paper. The 5.50 Ω load and 0.50 Ω internal resistance are in the same current path, giving 6.00 Ω in total. Dividing the 6.00 V e.m.f. by that resistance gives 1.00 A.
- How Cambridge International AS & A Level Physics (9702) assesses this Cambridge International publishes no per-unit percentage for Cambridge International A Level Physics; Paper 1 accounts for 31% of the AS Level total and 15.5% of the A Level total. · AS Level: Multiple Choice (75 min, 40 questions, 31%) · AS Level Structured Questions (75 min, 46%) · Advanced Practical Skills (120 min, 2 questions, 23%) | A Level: Multiple Choice (75 min, 40 questions, 15.5%) · AS Level Structured Questions (75 min, 23%) · Advanced Practical Skills (120 min, 2 questions, 11.5%) · A Level Structured Questions (120 min, 38.5%) · Planning, Analysis And Evaluation (75 min, 2 questions, 11.5%) · show the model with A graph of terminal p.d. (V) against current (A)., A formula card that explains the source relation separates external load resistance from the cell’s internal resistance., A table linking key concept, why it matters, visible method.
- Key skills Electric Current and Charge Carriers, Potential Difference and Electrical Power, Resistance, Resistivity and I-V Characteristics, Practical Circuits: e.m.f., Terminal Potential Difference and Internal Resistance, Kirchhoff's Laws and Combinations of Resistors, Potential Dividers, Potentiometers, Thermistors and Light-Dependent Resistors
- How to study for Unit 5 This page turns A graph of terminal p.d. (V) against current (A)., A formula card that explains the source relation separates external load resistance from the cell’s internal resistance., A table linking key concept, why it matters, visible method. into one route: Add 5.50 Ω and 0.50 Ω.
- The organizing decision Verify that 5.50 V across the load plus the 0.50 V internal drop recovers the stated 6.00 V e.m.f.
What Cambridge International AS & A Level Physics (9702) Unit 5 covers
Use this map to connect each assessed skill to the relationship or representation that makes it visible.
Electric Current and Charge Carriers
electromotive force; internal resistance; potential divider02Potential Difference and Electrical Power
electromotive force; internal resistance; potential divider03Resistance, Resistivity and I-V Characteristics
electromotive force; internal resistance; potential divider04Practical Circuits: e.m.f., Terminal Potential Difference and Internal Resistance
electromotive force; internal resistance; potential divider05Kirchhoff's Laws and Combinations of Resistors
electromotive force; internal resistance; potential divider06Potential Dividers, Potentiometers, Thermistors and Light-Dependent Resistors
electromotive force; internal resistance; potential dividerCambridge International does not publish a per-unit weighting for this exam.
Official unit name and weighting: Cambridge International syllabus.
Electricity and Direct Current Circuits
Connect the published share to the unit model
The 5.50 Ω load and 0.50 Ω internal resistance are in the same current path, giving 6.00 Ω in total. Dividing the 6.00 V e.m.f. by that resistance gives 1.00 A.
Terminal potential difference is lower than e.m.f. while current flows because Ir accounts for 0.50 V inside the source. Circuit topology determines which resistance and potential difference belong in each relation.
The completed chain reports 1.00 A and 5.50 V, then checks that ε = V + Ir. This recovery of the source e.m.f. tests the numerical result.
Mark current directions and potential differences on the circuit before simplifying it. Combine components only where the topology permits, then write the charge, resistance, loop or junction relation symbolically. A final power or limiting-behavior check is useful because it can expose an apparently tidy value obtained from an invalid series or parallel reduction.
The decision that organizes this unit
Define the system and choose the route before calculating
Verify that 5.50 V across the load plus the 0.50 V internal drop recovers the stated 6.00 V e.m.f.
Add 5.50 Ω and 0.50 Ω
Mechanism route and repair branches
Relationships to preserve
- Series path: Load and internal resistance carry the same current.
- Current: The source provides 6.00 V across 6.00 Ω total.
- Terminal p.d.: Internal resistance accounts for Ir.
Representations to read
- A graph of terminal p.d. (V) against current (A).
- A formula card that explains the source relation separates external load resistance from the cell’s internal resistance.
- A table linking key concept, why it matters, visible method.
Branches to reject
- Ignoring r when finding the source current
- Reporting 6.00 V across the load while current flows
- Internal resistance accounts for Ir
| Key concept | Why it matters | Visible method |
|---|---|---|
| Series path | Load and internal resistance carry the same current | Add 5.50 Ω and 0.50 Ω |
| Current | The source provides 6.00 V across 6.00 Ω total | Use I = ε/(R + r) |
| Terminal p.d. | Internal resistance accounts for Ir | Subtract 0.50 V from the e.m.f. |
| Circuit topology | Only components in the same path share the same current. | Mark currents and potential differences before simplifying. |
| Source check | Terminal potential difference and internal drop must recover the e.m.f. | Verify the loop relation after calculation. |
How Cambridge International AS & A Level Physics (9702) assesses Electricity and D.C. Circuits
What a complete response must make visible
Match the task to evidence that a reader can audit, then check the most likely reasoning failure before finalizing the response.
| Task | Evidence to show | Hurdle |
|---|---|---|
| Electric Current and Charge Carriers | electromotive force; internal resistance; potential divider | Ignoring r when finding the source current |
| Potential Difference and Electrical Power | electromotive force; internal resistance; potential divider | Reporting 6.00 V across the load while current flows |
| Resistance, Resistivity and I-V Characteristics | electromotive force; internal resistance; potential divider | Internal resistance accounts for Ir |
| Practical Circuits: e.m.f., Terminal Potential Difference and Internal Resistance | electromotive force; internal resistance; potential divider | Ignoring r when finding the source current |
| Kirchhoff's Laws and Combinations of Resistors | electromotive force; internal resistance; potential divider | Reporting 6.00 V across the load while current flows |
| Potential Dividers, Potentiometers, Thermistors and Light-Dependent Resistors | electromotive force; internal resistance; potential divider | Internal resistance accounts for Ir |
Worked example: charge, resistance and circuit networks
Read each question as it appears on the exam paper, choose your answer, then tap it to see the feedback.
Practice 1: Cell with internal resistance
A cell supplies a resistor.
A cell has e.m.f. 6.00 V and internal resistance 0.50 Ω. It supplies a 5.50 Ω resistor. Calculate (a) the current and (b) the terminal potential difference.
[4]Show all necessary working.
A. Use only 5.50 Ω, giving I = 1.09 A and V = 6.00 V.
❌ Not quite 😭 This ignores internal resistance and the lost potential difference inside the cell. The terminal voltage must be below the e.m.f. when current flows.
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B. Add 5.50 Ω and 0.50 Ω, giving I = 1.00 A and V = 5.50 V.
✅ Correct! 😊 Correct. The full circuit resistance determines current, and ε − Ir gives the voltage across the load.
C. Subtract 0.50 Ω from 5.50 Ω, giving I = 1.20 A and V = 5.40 V.
❌ Not quite 😭 Internal and external resistances are in the same current path and must be added. Subtraction overestimates the current.
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D. Add the resistances, giving I = 1.00 A and V = 6.50 V.
❌ Not quite 😭 The current is correct, but the terminal voltage cannot exceed the e.m.f. for a discharging cell; Ir is subtracted, not added.
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Full explanation
- Step 1The current passes through both resistances, so R + r = 6.00 Ω.
- Step 2Calculate I = ε/(R + r) = 6.00/6.00 = 1.00 A.
- Step 3Use V = ε − Ir for the terminal potential difference.
- Step 4Calculate V = 6.00 − (1.00)(0.50) = 5.50 V.
Practice 2: Potential divider reasoning
Two resistors form a potential divider across a 12.0 V supply.
A 2.0 kΩ resistor and a 4.0 kΩ resistor are connected in series. What is the potential difference across the 4.0 kΩ resistor?
[1]Choose the best answer.
A. 4.0 V
❌ Not quite 😭 This assigns the larger resistor the smaller voltage share. In series, potential difference is proportional to resistance.
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B. 6.0 V
❌ Not quite 😭 This splits the supply equally even though the resistances are unequal. Equal voltage division requires equal resistances.
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C. 8.0 V
✅ Correct! 😊 Correct. The 4.0 kΩ resistor is two thirds of the 6.0 kΩ total, so it receives two thirds of 12.0 V.
D. 12.0 V
❌ Not quite 😭 This places the full supply across one resistor and leaves none across the other. The series drops must add to 12.0 V.
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Full explanation
- Step 1For series resistors, the same current flows through both components.
- Step 2The total resistance is 2.0 kΩ + 4.0 kΩ = 6.0 kΩ.
- Step 3The 4.0 kΩ resistor takes the fraction 4.0/6.0 of the supply voltage.
- Step 4Its potential difference is (4.0/6.0)(12.0 V) = 8.0 V.
Key terms for Unit 5: Electricity and D.C. Circuits
Models, uses, and boundaries
- Electricity and Direct Current Circuits
- The source relation separates external load resistance from the cell’s internal resistance. Use this relationship when the source relation separates external load resistance from the cell’s internal resistance..
- Worked example: charge, resistance and circuit networks
- At 1.00 A, the internal drop Ir is 0.50 V and the load receives 5.50 V. Use this relationship when at 1.00 A, the internal drop Ir is 0.50 V and the load receives 5.50 V..
- Electricity and Direct Current Circuits: change one condition
- Two current coordinates on V = 6.00 − 0.50I compare the cell’s loaded terminal values. Use this relationship when two current coordinates on V = 6.00 − 0.50I compare the cell’s loaded terminal values..
- Electricity and Direct Current Circuits: test proposed results
- A proposed result should satisfy both ε = I(R + r) and V = ε − Ir. Use this relationship when a proposed result should satisfy both ε = I(R + r) and V = ε − Ir..
Cambridge International AS & A Level Physics (9702) Unit 5 FAQ
How much of Cambridge International AS & A Level Physics (9702) does Unit 5 carry?
Cambridge International does not publish a per-unit weighting for this exam.
What is the first move on a Electricity and D.C. Circuits problem?
Add 5.50 Ω and 0.50 Ω
Which relationships should I preserve?
Series path: Load and internal resistance carry the same current. Current: The source provides 6.00 V across 6.00 Ω total. Terminal p.d.: Internal resistance accounts for Ir.
Which representations should I practice?
Practice moving among A graph of terminal p.d. (V) against current (A)., A formula card that explains the source relation separates external load resistance from the cell’s internal resistance., A table linking key concept, why it matters, visible method..
What error should I check before submitting an answer?
Check for Ignoring r when finding the source current; Reporting 6.00 V across the load while current flows; Internal resistance accounts for Ir.
Evidence workshop
Continue from the free model into complete practice
The full unit guide continues with the chapter’s worked examples, figures, scoring tables, and answer checks.
- Worked example: charge, resistance and circuit networks
- Electricity and Direct Current Circuits: change one condition
- Electricity and Direct Current Circuits: test proposed results
- Check the worked-example evidence for Electricity and Direct Current Circuits
Full unit practice. Open the complete guide for the full evidence workshop and synthesis.
Related Cambridge International AS & A Level Physics (9702) unit guides
Cambridge International AS & A Level Physics (9702) Exam Guide & Review
The whole exam and its official unit sequence.01Physical Quantities and Units
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Cambridge International does not publish a per-unit weighting for this exam.10Magnetic Fields and Alternating Currents
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Cambridge International does not publish a per-unit weighting for this exam.How to study Cambridge International AS & A Level Physics (9702) Unit 5
Start with the organizing decision
Before solving, restate the decision in operational terms: Verify that 5.50 V across the load plus the 0.50 V internal drop recovers the stated 6.00 V e.m.f.. Your first written move should be to Add 5.50 Ω and 0.50 Ω.
Practice the same idea in several representations
Rotate through A graph of terminal p.d. (V) against current (A)., A formula card that explains the source relation separates external load resistance from the cell’s internal resistance., A table linking key concept, why it matters, visible method.. Use each representation to practice Electric Current and Charge Carriers, Potential Difference and Electrical Power, Resistance, Resistivity and I-V Characteristics, Practical Circuits: e.m.f., Terminal Potential Difference and Internal Resistance, Kirchhoff's Laws and Combinations of Resistors, Potential Dividers, Potentiometers, Thermistors and Light-Dependent Resistors, and explain what stays invariant when the surface form changes.
Turn each error into a repair check
After every attempt, audit the response for Ignoring r when finding the source current; Reporting 6.00 V across the load while current flows; Internal resistance accounts for Ir. Then redo only the first step that made the reasoning diverge, keeping units, direction, and model conditions visible.
Confirm current course details in the official Cambridge International syllabus for the 2025-2027 administration.
Where to go next
Return to the Cambridge International AS & A Level Physics (9702) to see every unit and plan your revision.