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PHYSICS / ELECTRICAL CIRCUITS

Series and Parallel Resistor Calculator

Calculate equivalent resistance for two ideal resistors connected wholly in series or wholly in parallel. Inspect the SI equation, substituted inputs, derived result, and physical limitations in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate equivalent resistance for two ideal resistors connected wholly in series or wholly in parallel. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

R_parallel=R_1R_2/(R_1+R_2)

What you provide

What you provide

  • First resistance expressed in ohm, using the same scenario as the other inputs
  • Second resistance expressed in ohm, using the same scenario as the other inputs

What you receive

What you receive

  • Parallel equivalent resistance in ohm from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

This is an idealized educational model; verify material properties, losses, tolerances, boundary conditions, and safety factors before engineering use.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors