Where Does the Square Root Three (3) Come From? Phase vs Line Voltage NCEES Electrical Power PE Exam

[@robertduran880]

After being in the industry many years I still didn't quite understand where the sqrt 3 came from or when and when not to use it. This video really helps explain and I've watched it more than once.

[@ngassthy]

This lecture for me is the key to 90% of PE exams that I have deal with. I now understand how to use sqrt(3) which is fundamental in the power world. Thank you Zach for detailled explanation.

[@electricalpereview]

Glad you found the material helpful

[@jtthomas1]

Mistakes with the square root of 3 are the bane of any PE Power exam taker's existence. This video and Zach's modules really explain it in detail and provide much needed context, and show you HOW and WHY it is used - not just that you should use it. It really helps with understanding it!

[@katelynnjourdan4593]

It can get really hard to memorize these equations, and understanding the "why" behind the square root three is extremely helpful

[@secretshopper3683]

This video made the root three very clear.

[@pnstu36]

Another one of my favorite videos since the square root of 3 is tough concept to know when to use properly.

[@AlbertaDMode]

Once again, perfect review with step-by-step how to derive to V-line=1.73Van

[@nasheetarman1908]

Great lecture! NCEES loves to trick you with the sqrt(3). Listen to this video for sure if you would like to avoid the trap. Thanks Zach!!

[@richardflores9347]

What an amazing video, thank you for breaking it down so smoothly!

[@redopariansah9849]

Can you describe the other voltage, Vbc and Vca. I try to find but the angle is different to the actual. thanks

[@electricalpereview]

Hi @Redo, for the answer to this, please see my follow up reply to your question on our main website here: www.electricalpereview.com/square-root-three-3-electrical/#comment-2764

[@redopariansah9849]

@@electricalpereview thank you, the answer is very helpfull 🙏🏻

[@jennifernolan7400]

This helped me understand how to use the sq root of 3 properly! Thank you

[@marcusprater2731]

Extremely helpful video! Learned more in 10 minutes than in some college courses

[@electricalpereview]

Happy it helped

[@rfmoradkhani3049]

Thanks Zach! this video resolved a lot of issues that I couldn't easily find in other resources. keep up the amazing work.

[@josedelim4951]

Great explanation on how to derive the square root of three and 30 degrees phase shift.

[@aaroncurry6281]

So thats where that pesky square root 3 comes from. Thanks for breaking it down

[@chitrashivakumar4750]

Thank you Zach! This video is extremely helpful in getting a solid understanding of square root 3

[@matthewcasella9219]

Great Video

[@HavocElect]

much needed explanation, thank you. 👏

[@electricalpereview]

Thanks for the comment @Frank, glad you enjoyed the explainer.

[@carlos66481]

REAL HELPFUL

[@electricalpereview]

Happy it helped

[@gcinikhayachristopher5911]

I HAVE A NINE PHASE PROTOTYPE INDUCTION MACHINE JUST TO BE SURE ,FOR MORE THAN THREE PHASES IS THIS THE SAME APPLICATION?

[@lilhopper100]

great video! helped solidify my knowledge.

[@bluecrimson6841]

Awesome video!

[@giridharan1434]

You nailed it. Thank you very much... 👍🏻👍🏻👍🏻👍🏻

[@electricalpereview]

Glad it helped.

[@electricalpereview]

Thanks for the feedback, I'm happy you found it helpful.

[@brains4eva2]

just out of interest which is it done with angles 0 and -120 and not angles 0 and plus+120?

[@electricalpereview]

It works both ways as long as you add up the complex voltages using the correct polarity references

[@ericanderson8606]

i understand there are basics to understanding this video, but it sure does throw a long chain of calculations at you. It's pretty easy to get lost in terms of where the physical application of the each formula was derived. I was looking for the physical rotational or graphical analysis of where we obtain the sqrt of 3. If that could be explained visually, the trigonometric formulas would begin to make more sense and have more meaning.

[@zaulaphai3807]

what is line to line voltage if we use 6 phase? is this same? different angle would be 60 per phase

[@electricalpereview]

If you are using 6 phases that are equally displaced then 360º/6 = 60º between each phase. Follow the same steps in the video except add up two of the phase voltages one with an angle of 0º and the other with 60º and you will have your answer.

[@alfielago]

how it become V + V/2 - j sq.rt. 3/2 become 3V/2 - sq.rt.3/2... please some buddy help me. thanks

[@cesarbalderrama407]

V=2V/2: 2V/2 + V/2 = (2V+V)/2 = 3V/2, the - j sq.rt(3/2) stays the same

[@brains4eva2]

ah yes i was stuck on this too, but i see now. V+V/2 becomes 3V/2 because the V on its own is actually the same as 2V/2 so which you add that to the V/2 you end up with the 3V/2

[@ericsillers9864]

Beginning your explanation with a geometric representation, but not simply completing the triangle with (2)cos(30)=1.732 seems overly complicated for a layman.

[@electricalpereview]

I understand that some of the math in these videos may be hard to follow if you are not familiar with them. These videos are intended for electrical power engineers that are preparing for their professional engineering license exam.

[@bernardocisneros4402]

I was wondering the same thing as Eric; "why is he making it so complicated? Just multiply 2 by Cos 30°". I didn't know this is test prep for electrical power engineers. My take from this: engineers just like to complicate simple things 😆

[@DavidOwen-fq7ly]

The diagrams are hard to red because of the colour choices and I can barely hear you.

[@electricalpereview]

Thanks for the feedback. This is about an 8 year video, all of our new videos are very clear, but I keep the old ones up because people still find them helpful🙂

[@sohailjanjua123]

Hi Zach , Delta video is excellent. But this video Star only i understand 25% . and your writing is not clear. Thanks

[@jynxdmonkey]

Thanks Zach, all of this for free?! Lol

[@rudranshsrivastava4167]

try to write bigger. Good work.

[@electricalpereview]

Thanks, will give it a go. Glad the material is help to you

[@gcinikhayachristopher5911]

PHASE SHIFT IS 40 DEGREES NEED TO KNOW LINE TO LINE VOLTAGE

[@namronmanelok4119]

color scheme makes it almost impossible to see.

[@electricalpereview]

Agreed. It's a dated 7 year old video that was filmed on low resolution. You may find our newer videos helpful that are filmed in 4k and more contrast.

[@mrbigstuff6149]

It's all too small and dark for me.

[@johnhordista1439]

Huh? You lost me at sine and cosine.

[@FEStudy-uo2sc]

me too!

[@misteresam7045]

Your writing is not clear