Electrical Calculations Guide
A practical walkthrough of residential and light-commercial circuit design: ampacity, voltage drop, overcurrent protection, transformers and energy cost — each step linked to the calculator that does the math.
The four questions every circuit must answer
Designing an electrical circuit is answering four questions in order. First: how much current does the load draw, continuously? Second: what conductor carries that current without overheating? Third: does that conductor deliver acceptable voltage at the load end? Fourth: what overcurrent device protects the conductor? Each question has a calculator, and skipping one is how circuits end up non-compliant.
The load current comes from the device nameplate or from power divided by voltage — the kVA-to-amps and motor current calculators handle both patterns. Continuous loads (running three hours or more) multiply by 1.25 before anything else happens; that single rule drives most of the sizing that follows.
Ampacity: the conductor's heat budget
A conductor's ampacity is the current it can carry without its insulation exceeding its temperature rating. The NEC table value assumes 30 °C ambient and three current-carrying conductors; real installations routinely violate both assumptions. Attics reach 50 °C, conduit fills hold a dozen conductors, and both corrections stack multiplicatively — a 10 AWG THHN circuit derated for a hot attic with nine conductors drops from 35 A to under 22 A effective ampacity.
The wire size calculator walks the standard copper conductor series; the derating calculator applies the real-world corrections. Do both before trusting any ampacity figure.
Voltage drop: the performance limit
Code ampacity keeps the conductor from burning; voltage drop keeps the load working. The NEC's informational guidance suggests 3% for branch circuits and 5% total. Exceed it and motors lose torque, lights dim, and electronics brown out — and the energy wasted as I²R heat in the cable is paid for every hour the circuit runs.
Drop grows with length and current: doubling either doubles the drop. The voltage drop calculator computes it for single and three-phase circuits with NEC conductor data; the cable reactance calculator refines it for large conductors, where inductive reactance rivals resistance.
Power, power factor and the kVA world
Real power (kW) does work; apparent power (kVA) is what wires and transformers must carry. The gap between them is reactive power, quantified by power factor. Motors at part load and heavily loaded transformers can pull power factor down to 0.7 — meaning 30% more current in every conductor than the useful power requires.
Utilities penalize industrial customers below roughly 0.90 PF; the power factor correction calculator sizes the capacitor bank that fixes it. The three-phase power calculator shows the full power triangle for balanced loads.
Energy: where electricity becomes money
Power is instantaneous; energy is power × time, and energy is what you buy. A 1,500 W heater running 4 hours consumes 6 kWh — at $0.15/kWh, 90 cents per evening, $328 per year. Multiplying small daily costs by 365 is how efficiency decisions get made rationally.
The energy cost calculator handles appliances and fleets of devices; the EV charging and cooling cost calculators apply the same math to their domains.
Questions about electrical calculations
What is the difference between kW and kVA?
kW is real, usable power. kVA is what the conductors must carry — real and reactive current combined. At power factor 1.0 they're equal; at PF 0.8, a 10 kVA supply delivers only 8 kW of work.
Should I size wire for ampacity or voltage drop?
Both — whichever demands the larger conductor. Short, high-current circuits are ampacity-limited; long, modest-current circuits are drop-limited. Check both on every run.
Is voltage drop a code requirement?
The 3%/5% figures appear as informational notes, not enforceable sections — but equipment malfunction from excessive drop creates real liability, and some jurisdictions adopt them as mandatory.
All Electrical calculators
- Voltage Drop CalculatorFind the voltage drop in a copper circuit — absolute volts, percentage, final load voltage and heat loss. Uses NEC Chapter 9 Table 8 conductor resistances.
- Wire Size CalculatorPick the smallest standard copper conductor whose ampacity covers your load current, with the ampacity margin, metric cross-section and the code caveats that apply.
- Ohm's Law CalculatorLeave exactly one field blank and the calculator solves it from the other two — and shows power as a bonus. The classic V = I × R with all its rearrangements.
- kVA to Amps CalculatorEnter power as kVA, kW or hp and get the current for single or three-phase, with the kW/kVA conversion made explicit and the formulas documented.
- Power Factor Correction CalculatorEnter load kW, current PF and target PF to get the capacitor bank size in kVAR, the kVA capacity you free up and how much line current drops.
- Motor Current CalculatorEnter motor hp, voltage, efficiency and power factor to estimate full-load current — with the formulas, and clear notes on when to use NEC tables instead.
- Wire Resistance CalculatorFind the electrical resistance of any copper or aluminum conductor from the AWG table — round trip and per-unit-length values for voltage drop math.
- Electricity Cost CalculatorEnter device watts, hours per day and your rate to get daily, monthly and yearly energy and cost — the standard appliance running-cost calculation.
- Transformer Sizing CalculatorEnter load kW, PF and voltages to get the required kVA with margin, plus primary and secondary currents for protection sizing.
- Three-Phase Power CalculatorEnter line voltage, current and PF to get kW, kVA and kVAR for a balanced three-phase load — the full power triangle.
- Voltage Divider CalculatorEnter Vin, R1 and R2 to get the divider output, its current draw and the power dissipated in each resistor — plus the loading caveats that matter in practice.
- Resistor Color Code CalculatorPick the four band colors to read the resistance value, tolerance and min/max range of any 4-band resistor.
- LED Resistor CalculatorEnter supply voltage, LED forward voltage and current to get the resistor value, its power rating requirement and the nearest standard values to buy.
- EV Charging Time CalculatorEnter battery kWh and charger kW to get charging time, grid energy drawn (including losses), range added and cost — for Level 1 through DC fast.
- Generator Size CalculatorAdd up your running loads and the biggest motor surge to get the minimum generator rating — with the sizing logic that prevents nuisance shutdowns.
- Wire Derating CalculatorEnter table ampacity, ambient temperature and conductor count to see the effective ampacity after NEC temperature and fill derating.
- Breaker Size CalculatorEnter the load current and whether it's continuous to get the design current and the next standard breaker rating — plus the conductor requirement that goes with it.
- Cable Reactance CalculatorFor large conductors where reactance matters: enter size and length to get R, X, Z and the AC voltage drop — the refinement over DC-only drop math.