Calculator · Electrical Engineering

Series & Parallel Resistor Calculator

Combine resistors in series (resistances add) or in parallel (conductances add) and see how much of the voltage or current each one takes.

Inputs

Edit the list, then leave the field to recalculate.

Results

Equivalent resistance R_eq

650 Ω

Equivalent conductance G_eq

1.538 mS
R1 = 100 Ω15.38 % of the voltage · G = 10 mS
R2 = 220 Ω33.85 % of the voltage · G = 4.545 mS
R3 = 330 Ω50.77 % of the voltage · G = 3.03 mS

Explore in the Lab

Open this resistor network in the Electrical Networks Lab

The Lab drives the group with a 10 V test source; R_eq = 10 V / source current.

Technical reference

Series: R_eq = R1 + R2 + … + Rn

Parallel: 1/R_eq = 1/R1 + … + 1/Rn, G_eq = Σ G_k

Series share: R_k/R_eq; parallel share: G_k/G_eq

R_k
resistance of resistor k (> 0)[Ω]
G_k
conductance 1/R_k[S]

In series every resistor carries the same current; in parallel every resistor sees the same voltage.

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