Current-divider equations
Parallel resistive branches share one voltage and split current according to conductance.
Req = 1/Σ(1/Rn)In = Itotal × Req/RnV = Itotal × ReqPn = In²Rnwhere:
- Req
- Equivalent parallel resistance[Ω]
- In
- Current in branch n[A]
Reactive branches require complex impedance and phasor analysis.
How to use the Current Divider Calculator
Split a known total current across two to six parallel resistive branches and calculate equivalent resistance, common voltage, branch current, and branch power. Start by choosing the operating mode, then enter values from nameplates, measurements, or project documents in the units shown. The result updates immediately and keeps intermediate quantities visible for review.
- Confirm the system and calculation mode.
- Enter measured or manufacturer-rated values.
- Review the primary result and intermediate metrics.
- Continue with the related protection or equipment-selection checks.
Calculation method and validation
The equations and symbol definitions above show the complete calculation basis. Inputs are checked before calculation so zero, negative, incompatible, or physically impossible combinations are flagged instead of silently producing a misleading result.
How to interpret the result
Use the main result as a starting value and read every supporting metric. Purely resistive parallel branches Known total current enters one common node All branch resistances are positive A passing or recommended result means the entered mathematical conditions are satisfied; it does not certify the complete installation or a particular product combination.
- Purely resistive parallel branches
- Known total current enters one common node
- All branch resistances are positive
Selection limits and next checks
Preliminary engineering estimate only. Verify the final design against the current applicable standard, local rules, manufacturer data, and project conditions. Use complex impedance and phasors when branch phase angle matters. Do not use this electronics model for code-governed parallel power conductors. Compare the output with the current applicable standard, local rules, exact VIOX product datasheet, environmental conditions, protection coordination, and the engineer's project requirements before procurement or installation.
Continue with resistor series parallel calculatorContinue with voltage divider calculatorContinue with ohms law calculator
Assumptions
- Purely resistive parallel branches
- Known total current enters one common node
- All branch resistances are positive
Important Warnings
- Preliminary engineering estimate only. Verify the final design against the current applicable standard, local rules, manufacturer data, and project conditions.
- Use complex impedance and phasors when branch phase angle matters.
- Do not use this electronics model for code-governed parallel power conductors.