Model railway single-feeder voltage drop illustration calculator

Calculate illustrative voltage drop and illustrative load voltage with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use illustrative voltage drop and illustrative load voltage to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

One-way wire length (metres)
10
Measured wire resistance per conductor (ohms/metre)
0.02
Concurrent feeder current (amperes)
2
Source voltage (volts)
12
Illustrative voltage drop (volts)
0.8
Illustrative load voltage (volts)
11.2
Wire resistive loss (watts)
1.6

Try another scenario

One-way wire length (metres)
15
Measured wire resistance per conductor (ohms/metre)
0.015
Concurrent feeder current (amperes)
3
Source voltage (volts)
14
Illustrative voltage drop (volts)
1.35
Illustrative load voltage (volts)
12.65
Wire resistive loss (watts)
4.05
Calculation method

Calculation method

Illustrative voltage drop (volts)

2×one-way length×resistance per metre×current.

Illustrative load voltage (volts)

Source voltage−drop; negative indicates inconsistent constant-current scenario.

Wire resistive loss (watts)

Current²×2×length×resistance per metre.

Symbols and units
a
One-way wire length (metres)
b
Measured wire resistance per conductor (ohms/metre)
c
Concurrent feeder current (amperes)
d
Source voltage (volts)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Resistive DC illustration with paired identical supply and return conductors; no conductor rating or safety assessment. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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