Kirchhoffsche Regeln

Resistors in parallel

Parallel branches increase conductance; equivalent resistance is below the smallest branch.

MINTSI
01

Inputs

Equivalent resistance of the parallel network.

Resistance of first parallel branch.

Resistance of second parallel branch.

Optional third branch; 0 means disconnected.

02

Result

Select a target and calculate.

Calculation

1/Rtotal = 1/R₁ + 1/R₂ + 1/R₃

Parallel branches increase conductance; equivalent resistance is below the smallest branch.

Understand the inputs
  • Total resistance RtotalEquivalent resistance of the parallel network.
  • Branch resistance R₁Resistance of first parallel branch.
  • Branch resistance R₂Resistance of second parallel branch.
  • Branch resistance R₃Optional third branch; 0 means disconnected.
Example

10 Ω in parallel with 5 Ω gives 3.33 Ω.

Assumptions and limits

Ideal ohmic branches; contacts and leads are excluded.

Sources