Two paths, two stories

Series & parallel resistors, explained.

Series components share a current, and their voltage drops add to the supply. Parallel branches share a voltage, and branch currents add to the total. Parallel equivalent resistance is less than either individual positive resistance.

12 V100 Ω200 ΩI = 0.04 AConventional current · schematic, not to scale

The relationship to remember

Series: R = R₁ + R₂ · Parallel: 1/R = 1/R₁ + 1/R₂

A worked example

For 100 Ω and 200 Ω across 12 V: series resistance is 300 Ω and current 0.04 A. Parallel resistance is about 66.67 Ω and total current 0.18 A.

Inside the default experiment

  1. R = 100 + 200 = 300 Ω.
  2. Total current = 12/300 = 0.04 A.
  3. Voltage drops: V₁ = 4 V; V₂ = 8 V.

When this model applies

Two ideal ohmic resistors, ideal DC source, zero-resistance wires.

Make a prediction. Then test it.

Switch from series to parallel without changing the resistors. Compare total current.

Try the interactive experiment ↗
A little question. A clearer picture.

Frequently asked questions

Wondering about the why? Start here.

Why is parallel resistance smaller?

Parallel branches offer additional paths for current. At the same voltage, the total current rises, so equivalent resistance V/I falls.

Do series resistors each get the full voltage?

No. They share the supply voltage in proportion to their resistances. Their voltage drops add up to the supply.