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Resistors in Series & Parallel Simplified Revision Notes

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2.2.2 Resistors in Series & Parallel

Resistance in a Series Circuit

Total Resistance:

infoNote

When resistors are connected in series, the total resistance is the sum of the individual resistances:

Rtotal=R1+R2+…R_{\text{total}}=R1+R2+…

This is because the current must pass through each resistor, adding to the overall resistance of the circuit.

  • Resistance (R) is measured in ohms (Ω)

Resistance in a Parallel Circuit

Combined Resistance:

infoNote

When resistors are connected in parallel, the combined resistance is always less than the smallest individual resistor. The total or combined resistance RtotalR_{\text{total}} for resistors in parallel is found using the formula:

Rtotal=1R1+1R2+1R3+...R_{\text{total}}=\frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}+...

This is because, in a parallel circuit, the current has multiple paths to take, reducing the overall resistance. As more resistors are added in parallel, the total resistance decreases.

  • Like in series circuits, resistance is measured in ohms (Ω).
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