A student connects two identical resistors in a parallel circuit with a battery. She then reconnects the same two resistors in a series circuit with the same battery. Explain why the current drawn from the battery is greater in the parallel circuit than in the series circuit.

Eduqas GCSE Physics — 7.2 Series and parallel circuits · Explain · 4 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

Model answer (4 marks)

In a parallel circuit each resistor has its own branch, so the current can split and each resistor receives the full battery voltage.
The total resistance of the parallel pair is lower than the resistance of a single resistor (R_total = R/2 for identical resistors), and is therefore lower than the total resistance of the series pair.
In a series circuit the resistances add (R_total = 2R), giving a higher overall resistance.
Because I = V/R, a higher resistance in the series circuit reduces the current drawn from the battery, whereas the lower resistance in the parallel circuit allows a greater current to flow.

Examiner tips

  • Show the difference in path for each resistor in parallel
  • State the formula for total resistance in parallel and series
  • Link the lower resistance to higher current using Ohm’s law
  • Use the exact wording from the mark scheme

Common mistakes

  • Confusing the voltage across each resistor in series and parallel
  • Calculating total resistance incorrectly (e.g., adding instead of using 1/R = 1/R1+1/R2)
  • Failing to connect the resistance difference to the current change

Mark scheme (4 marks)

  1. In a parallel circuit, each resistor has its own separate branch/path for current to flow through
  2. The total resistance of the parallel circuit is less than the resistance of either individual resistor / less than the series circuit
  3. In the series circuit, the two resistors add together, giving a greater total resistance
  4. A greater total resistance (in series) means less current is drawn from the battery, so parallel gives more current (linking resistance to current using Ohm's law idea)

Key terms in this question

series circuit · parallel circuit · current · battery

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