# Online Voltage Drop Calculator

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# Voltage Drop Calculator

Wire / cable voltage drop calculator and how to calculate.

## Voltage drop calculator

* @ 68°F or 20°C

** Results may change with real wires: different resistivity of material and number of strands in wire.

*** For wire length of 2x10ft, wire length should be 10ft.

## Voltage drop calculations

### DC / single segment calculation

The voltage drop V in volts (V) is identical to the wire present day I in amps (A) times 2 instances one manner cord period L in ft (feet) times the wire resistance in line with a thousand toes R in ohms (Ω/kft) divided by using one thousand:

*V*_{drop (V)} = *I*_{wire (A)} &instances; *R*_{wire(Ω)}

= *I*_{wire (A)} &instances; (2 × *L*_{(toes)} &instances; *R*_{twine(Ω/kft)} / 1000_{(feet/kft)})

The voltage drop V in volts (V) is same to the cord modern-day I in amps (A) instances 2 times one way cord duration L in meters (m) times the cord resistance in line with 1000 meters R in ohms (Ω/km) divided by 1000:

*V*_{drop (V)} = *I*_{twine (A)} × *R*_{twine(Ω)}

= *I*_{cord (A)} × (2 &instances; *L*_{(m)} × *R*_{twine (Ω/km)} / 1000_{(m/km)})

### three segment calculation

The line to line voltage drop V in volts (V) is identical to square root of 3 times the twine present day I in amps (A) instances one manner cord length L in toes (ft) times the cord resistance according to a thousand toes R in ohms (Ω/kft) divided by means of one thousand:

*V*_{drop (V)} = √3 &instances; *I*_{cord (A)} × *R*_{wire
(Ω)}

= 1.732 × *I*_{cord (A)}
&instances; (*L*_{(toes)} × *R*_{twine
(Ω/kft)} / 1000_{(toes/kft)})

The line to line voltage drop V in volts (V) is identical to rectangular root of three times the wire present day I in amps (A) times one way twine duration L in meters (m) times the cord resistance in line with one thousand meters R in ohms (Ω/km) divided via one thousand:

*V*_{drop (V)} = √3 &instances; *I*_{twine (A)} × *R*_{wire
(Ω)}

= 1.732 &instances; *I*_{twine (A)}
&instances; (*L*_{(m)} &instances; *R*_{cord (Ω/km)} / a thousand_{(m/km)})

### Wire diameter calculations

The n gauge cord diameter d_{n} in inches (in) is equal to 0.005in times ninety two raised to the strength of 36 minus gauge range n, divided by means of 39:

*d _{n}*

_{ (in)}= zero.1/2 in &instances; ninety two

^{(36-n)/39}

The n gauge twine diameter d_{n} in millimeters (mm) is equal to 0.127mm times 92 raised to the power of 36 minus gauge wide variety n, divided by way of 39:

*d _{n}*

_{ (mm)}= 0.127 mm × 92

^{(36-n)/39}

### Wire go sectional location calculations

The n gauge wire's move sercional area A_{n} in kilo-circular mils (kcmil) is same to a thousand instances the square cord diameter d in inches (in):

*A _{n}*

_{ (kcmil)}= a thousand&instances;

*d*

_{n}

^{2}= 0.1/2 in

^{2}× ninety two

^{(36-n)/19.5}

The n gauge twine's move sercional location A_{n} in square inches (in^{2})
is same to pi divided by 4 instances the rectangular twine diameter d in inches (in):

*A _{n}*

_{ (in}2

_{)}= (π/four)×

*d*

_{n}

^{2}= 0.000019635 in

^{2}× 92

^{(36-n)/19.Five}

The n gauge twine's go sercional location A_{n}
in square millimeters (mm^{2}) is identical to pi divided through four times the square cord diameter d in millimeters (mm):

*A _{n}*

_{ (mm}2

_{)}= (π/four)&instances;

*d*

_{n}

^{2}= 0.012668 mm

^{2}× ninety two

^{(36-n)/19.5}

### Wire resistance calculations

The n gauge twine resistance R in ohms consistent with kilofeet (Ω/kft) is same to zero.3048&instances;one thousand million instances the cord's resistivity *ρ* in
ohm-meters (Ω·m) divided by way of 25.Four^{2} times the move sectional area *A _{n}* in square inches (in

^{2}):

*R*_{n (Ω/kft)} = zero.3048 × 10^{nine} × *ρ*_{(Ω·m)} / (25.Four^{2}
&instances; *A _{n}*

_{ (in}2

_{)})

The n gauge twine resistance R in ohms in keeping with kilometer (Ω/km) is equal to one thousand million times the twine's resistivity *ρ* in
ohm-meters (Ω·m) divided by means of the move sectional place *A _{n}* in rectangular millimeters (mm

^{2}):

*R*_{n (Ω/km)} = 10^{nine}
&instances; *ρ*_{(Ω·m)} / *A _{n}*

_{ (mm}2

_{)}

## AWG chart

AWG # | Diameter (inch) |
Diameter (mm) |
Area (kcmil) |
Area (mm ^{2}) |
---|---|---|---|---|

0000 (4/0) | 0.4600 | 11.6840 | 211.6000 | 107.2193 |

000 (3/0) | 0.4096 | 10.4049 | 167.8064 | 85.0288 |

00 (2/0) | 0.3648 | 9.2658 | 133.0765 | 67.4309 |

0 (1/0) | 0.3249 | 8.2515 | 105.5345 | 53.4751 |

1 | 0.2893 | 7.3481 | 83.6927 | 42.4077 |

2 | 0.2576 | 6.5437 | 66.3713 | 33.6308 |

3 | 0.2294 | 5.8273 | 52.6348 | 26.6705 |

4 | 0.2043 | 5.1894 | 41.7413 | 21.1506 |

5 | 0.1819 | 4.6213 | 33.1024 | 16.7732 |

6 | 0.1620 | 4.1154 | 26.2514 | 13.3018 |

7 | 0.1443 | 3.6649 | 20.8183 | 10.5488 |

8 | 0.1285 | 3.2636 | 16.5097 | 8.3656 |

9 | 0.1144 | 2.9064 | 13.0927 | 6.6342 |

10 | 0.1019 | 2.5882 | 10.3830 | 5.2612 |

11 | 0.0907 | 2.3048 | 8.2341 | 4.1723 |

12 | 0.0808 | 2.0525 | 6.5299 | 3.3088 |

13 | 0.0720 | 1.8278 | 5.1785 | 2.6240 |

14 | 0.0641 | 1.6277 | 4.1067 | 2.0809 |

15 | 0.0571 | 1.4495 | 3.2568 | 1.6502 |

16 | 0.0508 | 1.2908 | 2.5827 | 1.3087 |

17 | 0.0453 | 1.1495 | 2.0482 | 1.0378 |

18 | 0.0403 | 1.0237 | 1.6243 | 0.8230 |

19 | 0.0359 | 0.9116 | 1.2881 | 0.6527 |

20 | 0.0320 | 0.8118 | 1.0215 | 0.5176 |

21 | 0.0285 | 0.7229 | 0.8101 | 0.4105 |

22 | 0.0253 | 0.6438 | 0.6424 | 0.3255 |

23 | 0.0226 | 0.5733 | 0.5095 | 0.2582 |

24 | 0.0201 | 0.5106 | 0.4040 | 0.2047 |

25 | 0.0179 | 0.4547 | 0.3204 | 0.1624 |

26 | 0.0159 | 0.4049 | 0.2541 | 0.1288 |

27 | 0.0142 | 0.3606 | 0.2015 | 0.1021 |

28 | 0.0126 | 0.3211 | 0.1598 | 0.0810 |

29 | 0.0113 | 0.2859 | 0.1267 | 0.0642 |

30 | 0.0100 | 0.2546 | 0.1005 | 0.0509 |

31 | 0.0089 | 0.2268 | 0.0797 | 0.0404 |

32 | 0.0080 | 0.2019 | 0.0632 | 0.0320 |

33 | 0.0071 | 0.1798 | 0.0501 | 0.0254 |

34 | 0.0063 | 0.1601 | 0.0398 | 0.0201 |

35 | 0.0056 | 0.1426 | 0.0315 | 0.0160 |

36 | 0.0050 | 0.1270 | 0.0250 | 0.0127 |

37 | 0.0045 | 0.1131 | 0.0198 | 0.0100 |

38 | 0.0040 | 0.1007 | 0.0157 | 0.0080 |

39 | 0.0035 | 0.0897 | 0.0125 | 0.0063 |

40 | 0.0031 | 0.0799 | 0.0099 | 0.0050 |

In Physics, the voltage drop is defined as the amount of voltage drop/loss occurs as a part of the circuit or through all the circuit due to the impedance. Usually, the voltage drop happens due to the increased resistance in the circuit. Other causes of voltage drop may be due to extra components, connections or the high-resistance conductors, increased load and so on.

It is a conversion calculator used to convert the values in Standard wire gauge (SWG) to millimeters (mm) and square millimeters (mm2). It is simple to use as it only has a single text field where you will select the gauge number. Click the down arrow on the right side of the ‘select SWG’ to give you the options. Once you have chosen the appropriate value, click the ‘Calculate’ button to execute the conversion.

This calculator also has the ‘Reset’ button which performs a different function. It is used to erase all data of the previous calculations. It is the fastest way of clearing the text fields whenever you want to perform new conversions. The results will be displayed below the two controls. You can determine the Diameter in millimeters, Diameter in inches and the Cross sectional area in square millimeters.

Formula of calculating the wire cross sectional area An (mm2) = (∏/4) x dn2, which means that the n gauge wire’s cross sectional area in square millimeters is computed by multiplying the square wire diameter in millimeters by pi divided by 4.

#### For example,

If the Standard wire gauge is 47 (SWG), what are the Diameter in millimeters, square millimeters and inches?

#### Solution

The first procedure will be to select the gauge number 47 in the first text field. Click the Calculate button to execute a quick conversion. Your results will be displayed as;

Diameter in millimeters = 0.051 (mm)

Diameter in Inches = 0.002 (inches)

Cross sectional area in square millimeters = 0.0020 (mm2)

If you wish to carry out new conversions from SWG to mm, use the ‘Reset’ button to clear the text fields at once. You can then select the gauge number and perform the same procedure to acquire your results in millimeters, inches and square millimeters. It is also important to know that this calculator only deals with conversions from SWG to mm and not the reverse. You can always coordinate the two controls to perform several calculations within a short period.