PhysicsGCSEAQA & EdexcelYears 10–11

GCSE Physics Series & Parallel Circuits Notes

Series and parallel circuits behave differently. Learn the three rules for each and circuit questions become quick marks.

Key concepts

Series circuit
Components in a single loop. Current is the same everywhere; potential difference is shared; total resistance is the sum of resistances.
Parallel circuit
Components on separate branches. Potential difference is the same across each branch; current splits between branches; total resistance is less than the smallest resistor.
  • Series: I is constant, V adds up, R_total = R₁ + R₂.
  • Parallel: V is constant across branches, I splits, R_total < smallest branch resistance.
  • Adding resistors in parallel decreases total resistance because there are more paths for charge.

Key formulas

Series resistance

R_total = R₁ + R₂ + R₃

Ohm's law

V = I × R

Worked example

Two 6 Ω resistors are connected in series to a 12 V supply. Find the current.

  1. 1Total resistance in series: R = 6 + 6 = 12 Ω.
  2. 2Use Ohm's law rearranged: I = V ÷ R.
  3. 3Substitute: I = 12 ÷ 12.
  4. 4Calculate: I = 1 A.

Answer: I = 1 A

Common mistakes

Adding resistances in parallel the same way as in series.

In parallel the total resistance is smaller than the smallest resistor — never just add them.

Thinking current is used up as it goes round.

Charge is conserved — in series the current is the same at every point.

Assuming p.d. is shared equally in parallel.

In parallel each branch gets the full supply p.d.

Quick check

Try these, then reveal the answers.

In a series circuit, what stays the same everywhere?Reveal answer

The current.

Two 4 Ω resistors in series — what is the total resistance?Reveal answer

8 Ω

In parallel, what is the same across every branch?Reveal answer

The potential difference.

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Exam tips

  • Label current and p.d. on the circuit diagram before you calculate.
  • State whether the circuit is series or parallel first — it decides which rules apply.
  • Watch your units: amps for current, volts for p.d., ohms for resistance.

Related practice

Related topics

Frequently asked questions

Why does total resistance fall when resistors are added in parallel?+

Each extra branch gives charge another path to flow through, so more current flows for the same p.d., meaning lower overall resistance.

Is current shared in a series circuit?+

No — current is the same at every point in a series circuit; it is potential difference that is shared between components.

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