CSEC PHYSICS · SECTION D · LESSON D6

Series and Parallel Circuits: Current, p.d. and Resistance

Rules for current and p.d. in series and parallel circuits, combining resistors in series and parallel, and solving series–parallel circuit problems.

Electricity and MagnetismD 4.11D 4.12≈ 50 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON D6 · EXPLAINER

Series and Parallel Circuits: Current, p.d. and Resistance

Christmas lights used to fail all at once when one bulb blew; modern strings keep shining. The difference is series versus parallel.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Series

Same I; V adds; R_s = R₁ + R₂ + R₃.

Parallel

Same V; I adds; 1/R_p = 1/R₁ + 1/R₂ + ….

Two in parallel

R_p = R₁R₂ ÷ (R₁ + R₂).

Smaller R

Carries the larger current in parallel.

Total R in parallel

Always less than the smallest branch.

Series–parallel method

Combine parallel parts, add series, find I, then p.d.s and branch currents.

Ohm’s law

V = IR applies to every part and to the whole circuit.

Domestic wiring

In parallel so each appliance has full voltage and works independently.

EXAM TIPS & COMMON MISTAKES

  • For parallel resistors do not forget the final step: take the reciprocal of 1/R_p.
  • Check the answer: R_p must be smaller than the smallest branch.
  • Use V = IR for each part, and label I, V and R for each component in a table.
  • In a series-parallel circuit, the current from the cell is the TOTAL current.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus D 4.11

1. Three resistors of 2 Ω, 3 Ω and 5 Ω are connected in series. The total resistance is

Answer: A. 2 + 3 + 5 = 10 Ω.
Syllabus D 4.11

2. Resistors of 6.0 Ω and 3.0 Ω are connected in parallel. The total resistance is

Answer: B. 6 × 3 ÷ (6 + 3) = 2.0 Ω.
Syllabus D 4.12

3. In a series circuit

Answer: C. One path for the current.
Syllabus D 4.12

4. Two identical 10 Ω resistors are connected in parallel across 20 V. The total current is

Answer: C. R_p = 5 Ω; I = 20 ÷ 5 = 4.0 A.
Syllabus D 4.12

5. A 12 V supply is connected to 4.0 Ω and 8.0 Ω resistors in series. The p.d. across the 8.0 Ω resistor is

Answer: C. I = 12 ÷ 12 = 1.0 A; V = 1.0 × 8.0 = 8.0 V.
Syllabus D 4.11

6. The total resistance of resistors in parallel is always

Answer: D. More paths means less resistance.
Syllabus D 4.12

7. When one lamp in a parallel circuit is removed, the current in the other lamps

Answer: A. The p.d. across each branch is the same.
Syllabus D 4.12

8. A 6.0 V battery supplies 0.60 A to a parallel combination. The effective resistance is

Answer: B. R = 6.0 ÷ 0.60 = 10 Ω.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (17 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Series and parallel circuits

Question 1 [17 marks]

A 12 V battery is connected to a 4.0 Ω resistor in series with a parallel combination of 6.0 Ω and 3.0 Ω resistors.

(a) (a) Draw the circuit diagram. [3]

MARK SCHEME — (a) (max 3)

(b) (b) Calculate the combined resistance of the parallel pair. [3]

MARK SCHEME — (b) (max 3)

(c) (c) Calculate the total resistance of the circuit. [2]

MARK SCHEME — (c) (max 2)

(d) (d) Calculate the current from the battery. [3]

MARK SCHEME — (d) (max 3)

(e) (e) Calculate the p.d. across the parallel pair. [3]

MARK SCHEME — (e) (max 3)

(f) (f) Calculate the current in the 3.0 Ω resistor. [2]

MARK SCHEME — (f) (max 2)

(g) (g) State one reason why household appliances are connected in parallel. [1]

MARK SCHEME — (g) (max 1)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.