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Series & Parallel Resistor Calculator

Calculate combined resistance for series or parallel resistor networks.

Enter values for each resistor (leave blank to exclude).

Ω
Ω
Ω
Ω
Ω
Ω
Result

Enter values for each resistor (leave blank to exclude).

Ω
Ω
Ω
Ω
Ω
Ω
Result

Formulas

  • Series: R_total = R1 + R2 + R3 + ...
  • Parallel: 1/R_total = 1/R1 + 1/R2 + 1/R3 + ...
  • Two parallel: R_total = (R1 × R2) / (R1 + R2)

For business

Why this matters for businesses

In a commercial building, resistor networks turn up far more often than people expect: building management system (BMS) sensor scaling, signage retrofit projects, EV charger control boards, fan coil unit speed taps, and the protective dividers in metering modules. A maintenance engineer staring at a faulty input card needs the equivalent resistance of the divider chain in seconds, not a re-creation of the original design from scratch. Having a fast reference at the panel saves rolled trucks, saves second visits, and keeps small controls jobs in-house rather than escalating to the OEM at full call-out rates.

For in-house engineering teams supporting retrofit projects, the resistor maths matters most when you are scaling a 0 to 10 V sensor signal into a 0 to 5 V ADC input on a new controller, or dropping a 24 V signal to a 3.3 V GPIO without burning the gate. The wrong values either clip the signal (so the BMS reports a flat-lined sensor) or over-volt the input (so the controller dies). Quick, accurate equivalent-resistance maths is the difference between a clean swap-over and a head-scratching afternoon with smoke escaping from a £400 module.

Resistor networks also creep into compliance work that Purely Energy clients deal with all the time: half-hourly metering retrofits, sub-metering for SECR reporting, and aggregated demand visibility ahead of MEC or MIC reviews. The pulse-output isolators, current-loop interfaces and CT burden circuits on those installs all use simple resistor dividers under the hood. Verifying the divider values during a commissioning walk-through avoids reporting a sub-meter that drifts 2% high for a year and then has to be retro-corrected back through twelve months of CRC and reconciliation submissions.