Series and parallel resistors
Calculate, convert and check circuit values in your browser.
Inputs
Results
- Resistance
- 2,000 Ω
Formula and assumptions
Rseries = ΣR; Rparallel = 1 / Σ(1/R)
Questions, examples and engineering limits
Combine 2–20 series or parallel resistors with mixed units. Check equivalent resistance, current sharing and power-sharing assumptions.
Content updated:
How is Series and Parallel Resistor Calculator, 2–20 Values calculated?
Use Rs = ΣR; Rp = 1/Σ(1/R). Combine 2–20 series or parallel resistors with mixed units. Check equivalent resistance, current sharing and power-sharing assumptions.
Sources: openstax.org [1]
How do I calculate this example: R₁ = R₂ = 1000 Ω?
series: 2000 Ω; parallel: 500 Ω. This is a calculated example under the model stated above; it is not a measured component specification.
Which units does Series and Parallel Resistor Calculator, 2–20 Values use?
Ω, kΩ, MΩ. Convert prefixes before substituting values; keep the input and output units attached to every number.
Sources: openstax.org [1]
Can parallel resistance exceed the smallest resistor?
Not for positive ideal resistors. Adding a parallel branch lowers equivalent resistance.
Sources: openstax.org [1]
Do two parallel resistors always split power equally?
Only if their resistances are equal under the same conditions. At a common voltage, P = V²/R, so lower resistance dissipates more.
Sources: openstax.org [1]
Can this solve any resistor network?
No. It combines one series or parallel group at a time. Reduce separable groups step by step; bridges may require circuit equations.
Sources: openstax.org [1]
Answers use the stated model and units. Examples are calculated values, not measurements or component ratings.