Two paths, two stories

Series & parallel resistors

Compare equivalent resistance, branch currents, and voltage drops in two-resistor circuits.

Series & parallel resistorsTRY IT YOURSELF
12 V100 Ω200 ΩI = 0.04 AConventional current · schematic, not to scale
Equivalent R300 Ω
Total current0.04 A
Current R₁0.04 A
Current R₂0.04 A
Teal + amber · follow the changing valuesIdealized physics model

What if you changed…

Try a starting point

YOUR NEXT AHA

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

See the calculation

Series: R = R₁ + R₂ · Parallel: 1/R = 1/R₁ + 1/R₂
  1. R = 100 + 200 = 300 Ω.
  2. Total current = 12/300 = 0.04 A.
  3. Voltage drops: V₁ = 4 V; V₂ = 8 V.

What this model assumes

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

Keep an eye on this

Current is shared equally between parallel branches only when their resistances are equal.

Understand the physics ↗
A little question. A clearer picture.

Series & parallel resistors: common 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.