Electronics & energy
Three-phase AC voltage drop
Three-phase AC voltage drop: Drop = √3 × current × length/1,000 × (R × PF + X × √(1−PF²)).
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Electronics & energy
Wire resistance from length and area
Wire resistance from length and area: Resistance = resistivity × length × path multiplier ÷ cross-sectional area.
Electronics & energy
DC wire area from allowed drop
DC wire area from allowed drop: Required area = 2 × resistivity × one-way length × current ÷ allowed voltage drop.
Electronics & energy
Three-phase current from power
Three-phase current from power: Line current = power × 1,000 ÷ (√3 × line voltage × power factor × efficiency).
Electronics & energy
Transformer secondary current
Transformer secondary current: Rated secondary current = kVA × 1,000 ÷ (voltage × phase factor).
Electronics & energy
Transformer turns and voltage ratio
Transformer turns and voltage ratio: Secondary turns = primary turns × secondary voltage ÷ primary voltage.
Electronics & energy
Battery pack series-parallel sizing
Battery pack series-parallel sizing: Pack energy Wh = cell voltage × series cells × cell Ah × parallel strings.
Electronics & energy
Battery C-rate current
Battery C-rate current: Current = capacity Ah × C-rate.
Electronics & energy
UPS runtime from watt-hours
UPS runtime from watt-hours: Runtime hours = battery Wh × usable fraction × efficiency ÷ load watts.
Electronics & energy
Solar battery autonomy days
Solar battery autonomy days: Autonomy days = battery energy × usable fraction × efficiency ÷ daily load.
Electronics & energy
Inverter continuous power headroom
Inverter continuous power headroom: Suggested minimum rating for comparison = (running load + largest simultaneous surge) × (1 + headroom).
Electronics & energy
Heat pump running cost
Heat pump running cost: Cost = heat delivered ÷ COP × electricity tariff + allocated fixed charges.
Electronics & energy
Air conditioner running cost
Air conditioner running cost: Cost = cooling capacity ÷ efficiency × hours × days × load factor × tariff.
Electronics & energy
Appliance standby annual cost
Appliance standby annual cost: Annual cost = watts × hours/day × devices × 365 ÷ 1,000 × tariff.
Electronics & energy
LED lighting upgrade payback
LED lighting upgrade payback: Payback years = upgrade cost ÷ annual electricity saving.
Electronics & energy
Power factor correction kVAr
Power factor correction kVAr: Required capacitor kVAr = kW × (tan acos(old PF) − tan acos(target PF)).
Physics & engineering
Pipe flow speed from diameter
Pipe flow speed from diameter: Velocity = flow in m³/s ÷ circular internal area.
Physics & engineering
Tank drain time from average flow
Tank drain time from average flow: Drain minutes = (volume − retained reserve) ÷ average flow.
Physics & engineering
Pump energy cost
Pump energy cost: Cost = input kW × hours/day × days × load factor × tariff.
Physics & engineering
Compressed air leak energy cost
Compressed air leak energy cost: Annual cost = leak flow × specific power × operating hours × leak factor × tariff.
Digital quantities
Server annual energy cost
Server annual energy cost: Annual cost = server watts × count × PUE × hours ÷ 1,000 × tariff.
Digital quantities
Cloud storage and egress cost
Cloud storage and egress cost: Monthly cost = stored GB × storage rate + egress GB × egress rate + entered request charges.
Digital quantities
API request monthly cost
API request monthly cost: Monthly cost = max(0, requests − free tier) ÷ 1,000,000 × request price + other costs.
Digital quantities
Video storage and bandwidth
Video storage and bandwidth: GB per video hour = bitrate × 3,600 ÷ 8 ÷ 1,000; monthly cost includes stored GB and streamed GB.
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