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# Difference between revisions of "Wire length tables"

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Lonny (talk | Contributions) (→Calculating Wire Sizes: used bullets (*) for formatting and removed the tabs. Please don't use tabs to try to force formatting.) |
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'''Variable Declarations:''' | '''Variable Declarations:''' | ||

− | + | *''A<sub>n</sub>'': circular mil area | |

− | + | *''n'': AWG | |

− | + | *''m'': AWG | |

− | + | *''Conductor resistivity'': constant, 11.2 | |

− | + | *''Current'': current through wire in Amps, acquired from table | |

− | + | *''Roundtrip (RT) wire length'': complete length of wire, ft, acquired from table | |

− | + | *''Allowable voltage drop'': voltage drop through wires, V | |

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{{How to | {{How to |

## Revision as of 01:48, 19 January 2020

## Introduction

Describe wire length, voltage loss, etc. here.

## Tables

The following table shows the American Wire Gauge (AWG) size for several different round trip (RT) wire lengths based on maximum current (A) for a 12V DC system (assuming 3% maximum wire loss):

RT length | 5A | 10A | 15A | 20A | 25A | 30A | 40A | 50A |
---|---|---|---|---|---|---|---|---|

15 ft |
16 | 12 | 10 | 10 | 8 | 8 | 6 | 6 |

20 ft |
14 | 12 | 10 | 8 | 8 | 6 | 6 | 4 |

25 ft |
14 | 10 | 8 | 8 | 6 | 6 | 4 | 4 |

30 ft |
12 | 10 | 8 | 6 | 6 | 4 | 4 | 2 |

40 ft |
12 | 8 | 6 | 6 | 4 | 4 | 2 | 2 |

50 ft |
10 | 8 | 6 | 4 | 4 | 2 | 2 | 1 |

60 ft |
10 | 6 | 4 | 4 | 2 | 2 | 1 | 1/0 |

70 ft |
8 | 6 | 4 | 2 | 2 | 2 | 1/0 | 2/0 |

80 ft |
8 | 6 | 4 | 2 | 2 | 1 | 1/0 | 2/0 |

90 ft |
8 | 4 | 2 | 2 | 1 | 1/0 | 2/0 | 3/0 |

This table was adapted from Engineering Toolbox [1] .

## Calculating Wire Sizes

**Assumptions made:**

- copper wire resistivity = 11.2 [2]
- 3% loss from wires
- allowable voltage drop = 0.36V
- 12V system, 3% (0.03) wire loss -> 12V x 0.03 = 0.36V

**Variable Declarations:**

*A*: circular mil area_{n}*n*: AWG*m*: AWG*Conductor resistivity*: constant, 11.2*Current*: current through wire in Amps, acquired from table*Roundtrip (RT) wire length*: complete length of wire, ft, acquired from table*Allowable voltage drop*: voltage drop through wires, V

Table 2. Calculating Wire Sizes | ||

Equation | Step # | |

Step 1 : The equation to the left (Eqn. 1) was used, rearranged, and iterated on to produce Table 1. [3].
| ||

Step 2 : Algebraically rearrange Eqn. 1 to solve for n. The resulting equation is Eqn. 2 to the left.
| ||

Step 3 : If n<0, replace n with 1-m in Eqn. 1 [4] .
| ||

Step 4 : File:3 wireloss.png | ||

180x180px|5 | Step Solve Eqn. 3 for m, the resulting equation (Eqn. 4) is to the left.
: File:4 wireloss.png |

See Help:Tables.

Use help:references to see how to use the reference format.^{[1]}

Use Help:Images on how to upload the graph image(s). Please remember to use a very descriptive name for the file.

## References

- ↑ It is quite easy and just relies on ref and /ref in between less than and greater than symbols.