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A level Physics · Edexcel 9PH0 · Topic 3C

Series and parallel circuits

Key points

  • Series: the same current passes through each component; p.d.s add up to the supply; total resistance R=R1+R2+R3R = R_1 + R_2 + R_3.
  • Parallel: each branch has the same p.d.; currents add up; 1R=1R1+1R2+1R3\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}. Total resistance is always less than the smallest branch.
  • These rules come from conservation of charge (currents at junctions) and conservation of energy (p.d.s around loops).
  • For combination circuits, reduce parallel groups to a single resistance first, then add series parts.
  • Adding a resistor in parallel lowers the total resistance and increases the current from the supply.
  • An ideal ammeter has zero resistance and goes in series; an ideal voltmeter has infinite resistance and goes in parallel.
  • Exam tip: when one component changes, work through the effect on total resistance, current, then each p.d. step by step.

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Most circuits combine components in series and in parallel. These notes show where the combination rules come from and how to analyse a network one step at a time.

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