Wire Voltage Drop Calculator
Calculate DC wire voltage drop, voltage drop percentage, delivered load voltage, loop resistance, and I²R cable power loss from AWG, cable length, current, and conductor material. The default geometry mode uses one-way cable length and internally calculates the full source-load-return conductor loop.
Engineering tool
Wire Voltage Drop Calculator
Calculate DC cable voltage drop, drop percentage, delivered load voltage, and I²R wire loss from one-way length, current, conductor size, and material.
Voltage at the source before conductor drop.
Use the intended DC load current. Zero current is valid and gives zero drop.
Physical source-to-load distance. The two-conductor DC loop internally uses twice this length.
Material presets reuse the WIR-001 shared AWG reference data.
Use conductive area, not insulation or jacket diameter.
Result console
- Voltage Drop
- 1.3792V
- Voltage Drop Percentage
- 11.49333%
- Load Voltage
- 10.6208V
- Wire Power Loss
- 13.792W
- Loop Resistance
- 137.92mΩ
- Supply Voltage
- 12V
- Load Current
- 10A
- Single-Conductor Resistance
- 68.96mΩ
- One-Way Cable Length
- 10m
- Round-Trip Conductor Length
- 20m
- Resistance per Meter
- 6.896mΩ/m
- Conductor Area
- 2.5mm²
- Material
- Copper
- Resistivity
- 1.724e-8Ω·m
DC two-conductor wire model only. Voltage-drop suitability does not verify ampacity, insulation rating, installation method, connectors, source internal resistance, PCB traces, motor windings, transformer windings, or complete AC/three-phase voltage drop.
Formula reference
Wire voltage drop formulas
All formulas use full-precision SI values internally. Display formatting happens only after calculation.
Rsingle = ρL/ARloop = 2RsingleVdrop = I × Rloop%Vdrop = Vdrop / Vsupply × 100%Vload = Vsupply - VdropPloss = I²Rloop = I × VdropVariable definitions
- ρ
- conductor resistivity in Ω·m
- L
- one-way source-to-load cable length
- A
- conductive cross-sectional area
- I
- load current
- Rloop
- complete source-load-return conductor resistance
WIR-002 Formula Audit
| Core Resistance Formula | Rsingle = rho L / A. |
|---|---|
| Loop Resistance Formula | Rloop = 2Rsingle = 2rhoL/A for two equal DC conductors. |
| Voltage Drop Formula | Vdrop = I Rloop. |
| Voltage Drop Percentage Formula | %Vdrop = Vdrop / Vsupply × 100%. |
| Load Voltage Formula | Vload = Vsupply - Vdrop. |
| Power Loss Formula | Ploss = I²Rloop. |
| Power Identity | Ploss = I × Vdrop is verified against I²Rloop. |
| One-Way Length Convention | User length is source-to-load physical cable length. |
| Total Conductor Length Convention | Two-conductor DC geometry mode uses total conductor length = 2 × one-way length. |
| Known Loop Resistance Convention | Known loop resistance is already complete source-load-return resistance and is not doubled. |
| AWG Dataset Reuse | AWG area comes from the shared `data/reference/awg.ts` dataset through WIR-001 utilities. |
| Material Data Reuse | Copper and aluminum presets reuse the WIR-001 material source. |
| Reference Temperature Policy | Preset resistivity values are reference values near 20°C. |
| Temperature Boundary | No full wire temperature correction; WIR-011 owns that scope. |
| DC / AC Boundary | DC and low-frequency resistive model only. |
| Three-Phase Boundary | No simplified √3-only three-phase voltage drop model. |
| Ampacity Boundary | Voltage-drop suitability does not prove ampacity compliance. |
| Source Resistance Boundary | Battery or supply internal resistance is not included unless intentionally included in known loop resistance. |
| Connector Resistance Boundary | Contacts, fuses, switches, and terminals are excluded unless included in known loop resistance. |
| PCB Boundary | PCB trace voltage drop remains in the PCB category. |
| Motor Boundary | Motor winding voltage drop remains outside WIR-002. |
| Transformer Boundary | Transformer winding regulation or drop is outside WIR-002. |
Worked Examples
| Case | Calculation | Result |
|---|---|---|
| Critical copper resistance | rho=1.724e-8, L=10m, A=2.5mm² | Rsingle=0.06896Ω |
| Critical loop resistance | two equal conductors | Rloop=0.13792Ω |
| Critical voltage drop | I=10A, Rloop=0.13792Ω | Vdrop=1.3792V |
| Critical load voltage | 12V - 1.3792V | Vload=10.6208V |
| Critical drop percentage | 1.3792V / 12V ×100% | 11.493333% |
| Critical power loss | 10² × 0.13792Ω | 13.792W |
| Power identity | 10A × 1.3792V | 13.792W |
| One-way length | 10m physical run | 20m total conductor length |
| Known loop mode | Rloop=0.13792Ω, I=10A | Vdrop=1.3792V |
| Overdrop warning | 5V, 10A, 1Ω loop | 200% drop, raw Vload=-5V |
| Zero current | I=0 | Vdrop=0, Ploss=0, Vload=Vsupply |
| Zero length | L=0 | Rloop=0, Vdrop=0 |
| Double length | same conductor and current | double voltage drop |
| Double current | same loop resistance | double voltage drop |
| Double current loss | same loop resistance | 4× power loss |
| Double area | same material/length/current | half voltage drop |
| Aluminum comparison | same geometry | higher drop than copper |
| AWG mode | raw AWG area | matches direct-area calculation |
| mV input | 5000mV | 5V |
| mA input | 1000mA | 1A |
| mΩ resistance | 1000mΩ | 1Ω |
| µΩ resistance | 1µΩ | 1e-6Ω |
| mm² conversion | 1mm² | 1e-6m² |
| µΩ·cm conversion | 1µΩ·cm | 1e-8Ωm |
Engineering Notes
- Voltage drop is the voltage lost across conductor resistance before the load.
- One-way cable length is the physical source-to-load distance.
- A two-conductor DC loop includes both the outgoing and return conductor.
- AWG is only a wire-size input; WIR-002 does not replace the AWG converter.
- Copper and aluminum use shared reference resistivity presets.
- Preset resistivity values are approximate reference values near 20°C.
- Voltage drop percentage is based on supply voltage.
- Load voltage is the remaining voltage after conductor drop.
- Wire power loss becomes heat in the cable conductors.
- The model is DC and purely resistive.
- AC cable drop may need reactance, power factor, and frequency effects.
- Voltage-drop checks do not prove safe ampacity.
- Connector and contact resistance can be significant in high-current wiring.
- Source or battery internal resistance is a separate circuit element.
- Long cable runs and low-voltage rails are more sensitive to voltage drop.
- High-current systems should verify thermal and protection requirements separately.
Common Mistakes
- Using one-way resistance as if it were loop resistance.
- Doubling a resistance value that is already complete loop resistance.
- Entering total conductor length in a one-way length field.
- Forgetting the return conductor in a DC circuit.
- Confusing AWG direction and assuming larger AWG number means larger wire.
- Using insulation diameter as conductor size.
- Using rounded AWG display area as an internal calculation value.
- Using the wrong material resistivity.
- Ignoring conductor temperature.
- Assuming low voltage drop means safe ampacity.
- Including source resistance accidentally as wire resistance.
- Treating the DC formula as a complete AC cable model.
- Dividing percentage drop by load voltage instead of supply voltage.
- Entering milliamps as amps or milliohms as ohms.
Support reference
FAQ
How do I calculate wire voltage drop?
Calculate the two-conductor loop resistance from material, one-way cable length, and conductor area, then multiply by load current: Vdrop = I × Rloop.
What is the voltage drop formula?
For a DC two-wire cable, Rsingle = rho L/A, Rloop = 2Rsingle, Vdrop = I Rloop, Vload = Vsupply - Vdrop, and Ploss = I²Rloop.
Why is cable length doubled?
In a two-conductor DC circuit, current travels out through one conductor and returns through the other. The total conductor length is therefore twice the one-way cable run.
What is one-way cable length?
One-way cable length is the physical source-to-load distance. The calculator reports total conductor length separately so the internal 2× loop convention is visible.
What is loop resistance?
Loop resistance is the complete source-load-return conductor resistance. In known loop resistance mode, the entered value is already the full loop resistance and is not doubled.
How do I calculate voltage drop from AWG?
Select an AWG size and material. The calculator reuses the shared AWG dataset for raw conductor area, calculates loop resistance, then applies Vdrop = I Rloop.
How does wire size affect voltage drop?
Larger conductor area reduces resistance and therefore reduces voltage drop for the same material, current, and cable length.
How does wire length affect voltage drop?
Voltage drop rises linearly with cable length. Doubling one-way cable length doubles loop resistance and voltage drop.
How does current affect voltage drop?
Voltage drop rises linearly with current. Doubling current doubles voltage drop, while wire power loss increases by four times.
How do I calculate voltage drop percentage?
Voltage drop percentage is Vdrop divided by supply voltage, multiplied by 100 percent.
Is voltage drop percentage based on supply voltage?
Yes. This calculator defines percentage drop as Vdrop / Vsupply × 100%, not Vdrop divided by load voltage.
How do I calculate load voltage?
Subtract wire voltage drop from the source voltage: Vload = Vsupply - Vdrop.
How do I calculate wire power loss?
Use Ploss = I²Rloop. The same loss also equals I × Vdrop, and the calculator verifies both identities.
Why does wire power loss increase with current squared?
Because the I²R equation contains current squared. If current doubles through the same cable resistance, heat-producing wire loss increases by four times.
Can I calculate copper wire voltage drop?
Yes. Copper is available through the shared material preset data reused from the AWG reference module.
Can I calculate aluminum wire voltage drop?
Yes. Aluminum is available as a shared material preset and produces a higher resistance than copper for the same geometry.
Does wire resistance change with temperature?
Yes. Metal conductor resistance generally changes with temperature. This calculator uses reference resistivity values and does not apply full temperature correction.
Does this calculator account for wire temperature?
No. Temperature-dependent conductor resistance is reserved for WIR-011. Use suitable margin or measured resistance when conductor temperature is known.
Can I use this calculator for AC?
Only as a low-frequency resistive approximation. Complete AC cable voltage drop may require reactance, power factor, skin effect, proximity effect, and conductor arrangement.
Can I use this calculator for three-phase circuits?
No. WIR-002 does not model three-phase voltage drop. A complete model needs resistance, reactance, phase convention, and power factor.
Does this calculator determine wire ampacity?
No. Voltage drop and ampacity are separate checks. Ampacity depends on insulation, ambient temperature, installation method, bundling, terminals, protection, and code requirements.
Is 3% voltage drop always acceptable?
No. Acceptable drop depends on the system, load tolerance, regulation budget, and standards. This calculator does not declare a design safe or code compliant.
Does connector resistance affect voltage drop?
Yes. Connector, contact, switch, fuse, and terminal resistance add to the total circuit drop, but they are not included unless entered as part of known loop resistance.
Why can calculated voltage drop exceed supply voltage?
That means the assumed current cannot be sustained by the simple source-and-wire model. The raw math is preserved and a model-limit warning is shown.
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Related Engineering Resources
Guides and lookup references linked to this tool.
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