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4.3.2b Parallel circuits

A parallel circuit gives the charge more than one route

Definition

Parallel circuit

A circuit in which components are connected across the same two junctions, so each one sits in its own branch with its own path for the current.

  1. The branches split apart at one junction and rejoin at another, so each coulomb takes one route or the other but never both.
  2. Because there are several routes, the current from the source splits between the branches.
  3. That makes the current from the source larger than the current in any one branch, and equal to the branch currents added together.
  4. Every branch is joined straight across the supply, so every branch has the same p.d. across it.
  5. Adding another branch draws more current from the source without changing the p.d. across the branches that were already there.

Circuit diagrams showing that the current is the same at every point in a series circuit, but splits into two smaller branch currents at a junction in a parallel circuit.

Adding a parallel branch lowers the total resistance

  1. The combined resistance of two resistors in parallel is less than either resistor on its own.
  2. That sounds wrong until you think in terms of routes: an extra branch gives the charge an extra way through, so more current flows in total for the same p.d.
  3. More current for the same p.d. means less resistance, which follows straight from R=VIR = \dfrac{V}{I}R=IV​.
  4. Two identical resistors in parallel give exactly half the resistance of one of them.
  5. Each new branch keeps pulling the total down and the current up, which is why loading one extension lead with several heaters can draw a dangerous current.

Circuit diagrams showing that a second resistor added in series raises the total resistance, while a second resistor added in parallel lowers it.

Lighting circuits are wired in parallel for three reasons

  1. Each lamp gets the full supply p.d., so every lamp runs at its proper brightness instead of sharing the supply.
  2. If one lamp fails the others stay lit, because the remaining branches are still complete loops.
  3. Each lamp can have its own switch in its own branch, so rooms are controlled independently.
  4. A series string fails on all three counts, which is why older fairy lights all went out when a single bulb blew.
  5. The trade-off is that parallel lamps together draw a larger total current from the supply than the same lamps in series would.

Building the two kinds of circuit on the bench

  1. Start at the cell and work round in one direction, adding one component at a time so you do not lose track of the loop.
  2. For a series circuit make one continuous loop with no branches, keeping the ammeter in the loop itself.
  3. For a parallel circuit connect both ends of each branch to the same two junction points on the main loop.
  4. Leave a switch in the main loop so that the circuit can be broken while it is being changed.
  5. Check the loop is complete before switching on, then use an ammeter to confirm that the current stays the same or splits as you expected.
Common Mistake
  • Adding a resistor in parallel lowers the total resistance, which is the opposite of what happens in series.
  • The branches do not share the p.d.; each one gets the full supply p.d. across it.
  • Two components drawn side by side on a diagram are only in parallel if both ends meet at the same two junctions, so trace the wires before deciding.
  • Do not claim parallel wiring saves energy; it draws a larger total current than the same lamps in series.
Exam technique
  • A question on the advantages of parallel lighting usually wants two of the three points, so give full brightness and independent operation, each with its reason.
  • Say "the current from the source is larger than the current in each branch" rather than the vaguer "the current splits".
  • When you are asked to draw a parallel circuit, mark the two junctions clearly with blobs so the branches are unmistakable.
  • If a question asks what happens when a branch is switched off, answer for the other branches and for the supply current separately.
Self review
  • How does the current from the source compare with the current in each branch of a parallel circuit?
  • How does the combined resistance of two resistors in parallel compare with each resistor on its own?
  • Give two advantages of connecting lamps in parallel in a lighting circuit.
  • Why does adding an extra branch increase the current drawn from the supply?
  • Describe how you would connect two lamps in parallel with a cell and a switch.
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4.3.2b Parallel circuits Revision Guide

  1. IGCSE
  2. /Physics
  3. /4.3.2b Parallel circuits

Revision notes for CIE IGCSE Physics 4.3.2b Parallel circuits: explanations and worked examples.

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