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Voltage drop

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EnriqueB

Member
Location
Miami
Occupation
Electrician




What’s the voltage drop of 125 ft. of 12 AWG wire (0.24 ohms) on a balance 3-wire, 120/240V multiwire circuit supplying a 16A load?

Why the voltage drop answer form the Mike Holt's book is 6.70V dropped on phase wire.
 

Carultch

Senior Member
Location
Massachusetts
What’s the voltage drop of 125 ft. of 12 AWG wire (0.24 ohms) on a balance 3-wire, 120/240V multiwire circuit supplying a 16A load?

Why the voltage drop answer form the Mike Holt's book is 6.70V dropped on phase wire.
We'd be glad to help, but we'd like to see your participation. Please share your work so far, and we'll offer feedback to help you the rest of the way.
 

EnriqueB

Member
Location
Miami
Occupation
Electrician
We'd be glad to help, but we'd like to see your participation. Please share your work so far, and we'll offer feedback to help you the rest of the way.
Step 1: Evd = I x R.

Step 2 : I =16A.

Step 3 : R = (1.93 Ω per 1,000ft/1,000) x 125 ft x 1 wire. [1.93 Ω – 12 AWG from Table 8, Chapter 9]

Step 4 : R = 0.00193 Ω x 125 ft x 1 wire

Step 5 : R = 0.24125 Ω ≈ 0.24 Ω

Step 6 : Evd = 16A x 0.24 Ω

Step 7 : Evd = 6.70V dropped on phase wire ?
 

wwhitney

Senior Member
Location
Berkeley, CA
Occupation
Retired
Step 6 : Evd = 16A x 0.24 Ω

Step 7 : Evd = 6.70V dropped on phase wire ?
You're correct up to Step 6, as long as you notice that you used the 1-way length of the circuit. So 16A x 0.24 Ω is the voltage drop on just one of the #12 conductors of the circuit. But current will be returning on the other line of the circuit (no current on the neutral as it is described as a balanced circuit), so that #12 conductor will also have voltage drop.

That makes the total voltage drop 2 x 16A x 0.24 Ω.

Cheers, Wayne
 

EnriqueB

Member
Location
Miami
Occupation
Electrician
You're correct up to Step 6, as long as you notice that you used the 1-way length of the circuit. So 16A x 0.24 Ω is the voltage drop on just one of the #12 conductors of the circuit. But current will be returning on the other line of the circuit (no current on the neutral as it is described as a balanced circuit), so that #12 conductor will also have voltage drop.

That makes the total voltage drop 2 x 16A x 0.24 Ω.

Cheers, Wayne
Step 7 is from Mike Holt's book:

What’s the voltage drop of 125 ft. of 12 AWG wire (0.24 ohms) on a balance 3-wire, 120/240V multiwire circuit supplying a 16A load?
  • 2.50V.
  • 3.40V.
  • 4.80V.
  • 6.70V.
 

wwhitney

Senior Member
Location
Berkeley, CA
Occupation
Retired
Step 7 is from Mike Holt's book:
. . .
6.70V.
Hmm, 2 * 16A * 0.24 = 7.68V, which is not 6.7V.

Perhaps it is more appropriate to use Table 9's "Effective Z at 0.85 PF for Uncoated Copper Wires". Which is 1.7 ohms/kft, not 1.93 ohms/kft.

Using 1.7 gives 2 * 16A * 1.7 * 125/1000 = 6.8V. Which isn't 6.7V, but is close enough for a multiple choice question.

Cheers, Wayne
 

Tulsa Electrician

Senior Member
Location
Tulsa
Occupation
Electrician
It's kinda a trick question.
For me the ansawer came from the verbage.

Hint 120/240
Balanced 16 amp load
VD on phase wire


You can use an variation of the VD= IxR if you correctly calculate the R

Calculate R is the 🗝️

Who knows I may be wrong. I do things kinda weird.

See if that clicks
I also used exact K for #12 solid
12.6029 for one formula
And used another number for VD=
Is has an effect on footage.
R= .417857257
 

Tulsa Electrician

Senior Member
Location
Tulsa
Occupation
Electrician
Step 1: Evd = I x R.

Step 2 : I =16A.

Step 3 : R = (1.93 Ω per 1,000ft/1,000) x 125 ft x 1 wire. [1.93 Ω – 12 AWG from Table 8, Chapter 9]

Step 4 : R = 0.00193 Ω x 125 ft x 1 wire

Step 5 : R = 0.24125 Ω ≈ 0.24 Ω

Step 6 : Evd = 16A x 0.24 Ω

Step 7 : Evd = 6.70V dropped on phase wire ?
Are these your steps or what is in the book?
 

Tulsa Electrician

Senior Member
Location
Tulsa
Occupation
Electrician
If these were the steps in The book.
The ansawer has to be wrong and my equation and idea how to solve is incorrect.
16*.24 = 3.84.

This may be one of those that has to sent to Mike holt for the correct answer.

Sorry for any confusion.
 

Mr. Serious

Senior Member
Location
Oklahoma, USA
Occupation
Electrical Contractor
Chapter 9, table 8 resistance (1.93Ω/kft) is for wire at 75 degrees C, rather hot. The answer given seems to agree with the total voltage drop of both #12 wires at a lower temperature. Under normal conditions it'll run at a much lower temperature than 75° with 16 amps of current. Perhaps the answer was calculated using a lower resistance value of #12 at a lower temperature, and the rest of the calculation is a misprint.

The wording of the question seems to be asking for the voltage drop along only one wire, though, not both wires of the circuit.
 

EnriqueB

Member
Location
Miami
Occupation
Electrician
If these were the steps in The book.
The ansawer has to be wrong and my equation and idea how to solve is incorrect.
16*.24 = 3.84.

This may be one of those that has to sent to Mike holt for the correct answer.

Sorry for any confusion.
There is some way to send this question back to him?
 

Tulsa Electrician

Senior Member
Location
Tulsa
Occupation
Electrician
I have read that if you e mail them they will get back with you.
I did find this info with email address
 

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