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Physics · Grades 9–12

Series and parallel: what stays the same · Revision sheet

Use topology before choosing voltage and current rules.

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Series

Resistors in series carry the same current. Their resistances add in the ideal ohmic model.

Parallel

Parallel branches share the same potential difference. Branch currents add at a junction.

Equivalent resistance

For positive resistors in parallel, equivalent resistance is below the smallest branch resistance.

Idealization

Assume ideal wires and source unless internal resistance is specified. This is calculation practice, not a wiring guide.

Explain without looking

  1. A 12 V ideal source is across a 3 Ω resistor. Find current in that branch.
  2. Why does equal voltage across two branches not imply equal current?

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Independent educational review required. Grade bands are approximate; these are not officially aligned curricula.