Series & Parallel Resistor Calculator

Series & Parallel Resistor Calculator

Calculate equivalent resistance for series and parallel circuits

Resistor Values

R1 Ω
R2 Ω
R3 Ω

Calculation Results

Equivalent Resistance
600 Ω
Sum of all resistances
Current Flow (at 12V)
0.02 A
Using Ohm's Law: I = V / R
Power Dissipation
0.24 W
Total power across all resistors
Series Circuit

Current flows through each resistor one after another

Rtotal = R1 + R2 + R3 + ...
Parallel Circuit

Current divides between multiple paths

1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...

Resistance Formulas

Series Resistance

Rtotal = R1 + R2 + R3 + ... + Rn

In a series circuit, the total resistance is simply the sum of all individual resistances.

Parallel Resistance

1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn

In a parallel circuit, the reciprocal of the total resistance equals the sum of reciprocals of individual resistances.

Two Resistors in Parallel (Shortcut)

Rtotal = (R1 × R2) / (R1 + R2)

For exactly two resistors in parallel, you can use this product-over-sum formula.