Your Initial post was:- "Question: How can the voltage at Pt. A of the capacitor be 380Vrms when the supply voltage is only 230Vrms ?"
and that was what we were try to help you understand.
Now it transpires that you have changed it to :- "The aim is to understand how does the motor behave and whether it destroys itself or some other components like the capacitor when wrong connections are made. This in turn gives an idea about how robust the design or the motor is to sustain these electrical conditions. And if possible use some mathematical formulae to predict the outcome. So yeah , it's purely out of inquisitiveness to learn why and how"

I suggest that in the future, If you genuinely want help, then be a little more honest at the start, because moving the goal posts throughout a thread only makes us think you are deliberately misleading us for some devious reason.
If you are genuine in your quest for knowledge, then take the advice offered and remember that someone who has spent their whole working life gaining knowledge and experience in electronics, cannot impart all of that in a few simple posts. It takes some effort on your part to follow up and study the subject in greater depth yourself.

 

Thanks Recklessrog,
I can only mention there was no interest to mislead anyone here or else I myself wouldn't have replied to the posts with what I see .
I indeed read many articles online and hence I resorted to signing in to this portal. I do agree imparting full knowledge in a couple of posts is not possible , but honestly no one would do also , but there can only be leads to something which helps understand things better.
Thank you for spending your time on my post, which is an open choice.

Warmly,
Hrishi

 

What formula do you plan to create for such a pointless endeavor?

Hook it up wrong and it works wrong and then things burn up shortly afterwards equals what?

If you want to learn about the math behind electric motor design and construction I suggest reading up on the laws that govern electromagnetic interactions with different ferrous and non-ferous metals and their various magnetic properties.

 

Ok Sir !
Thanks for your time to reply to a pointless endeavour ... Btw , to understand what I am trying to tell here one needs to understand complex numbers math ! And yeah the Kirchoff's Voltage law in a closed loop. The laws of magnetism - I know enough about the rotating field theory or split phase starting of induction motors . So guys relax , this post mean pointless to most , but I am not here to prove my point or anything . You are free to choose to reply if it makes sense , not obliged too .

Have a great weekend ,
Cheers
H

 

Learning about how different types of induction motors work is not pointless. trying to make a formula to determine that if you hook one up wrong what will happen is.
The formula for the most part wild be of near zero applicable value to any other induction motors other than ones that exact same brand and model of which to be honest people work on and instal motors typically already have a enough basic sense to be able to guess that if they hook something up wrong its not going to work right and more than likely will damage it so they don't really need a formula to tell them that.

Do you need a mathematical formula to tell you whether or not you need a urinal or a toilet when you go to the bathroom or do you just rely on basic sense and previous experience to know what will likely happen if you get it wrong?

 

Learning about how different types of induction motors work is not pointless. trying to make a formula to determine that if you hook one up wrong what will happen is.
The formula for the most part wild be of near zero applicable value to any other induction motors other than ones that exact same brand and model of which to be honest people work on and instal motors typically already have a enough basic sense to be able to guess that if they hook something up wrong its not going to work right and more than likely will damage it so they don't really need a formula to tell them that.

Do you need a mathematical formula to tell you whether or not you need a urinal or a toilet when you go to the bathroom or do you just rely on basic sense and previous experience to know what will likely happen if you get it wrong?

Knowing how can a parallel LC circuit have more voltage than supply and if it's really possible is not a subject of no interest to anyone who wish to understand electrical / electronics . Sometimes to make systems/ designs robust one has to be able to predict what could be the probable electrical conditions across critical component if wrong connections are made and size them accordingly so that the system doesn't fail . For this you need some formulae using basics of existing formulae and not " invent" anything .

Toilet and urinal difference I am sure you had no clue about it when you were a small kid ! Someone educated this basic sense too .

 

Knowing how can a parallel LC circuit have more voltage than supply and if it's really possible is not a subject of no interest to anyone who wish to understand electrical / electronics .

I already showed you how in one of the first posts.
I think the idea of trying to ascertain the effects of a situation that is never going to appear in real life is a little futile, and in this particular case would need to be solved by empirical test using the necessary laboratory equipment and not by mathematical prediction.
Max.

 

I already showed you how in one of the first posts.
I think the idea of trying to ascertain the effects of a situation that is never going to appear in real life is a little futile, and in this particular case would need to be solved by empirical test using the necessary laboratory equipment and not by mathematical prediction.
Max.

Thanks MaxHeadRoom,

Your replies have been very helpful indeed .

Warmly ,
H

 

I already showed you how in one of the first posts.
I think the idea of trying to ascertain the effects of a situation that is never going to appear in real life is a little futile, and in this particular case would need to be solved by empirical test using the necessary laboratory equipment and not by mathematical prediction.
Max.

Btw,
Thinking that an abnormal situation is not a real life situation is a misnomer! There are short circuit protection/reverse polarity protection in many devices which says the design has to be robust !

Hrishi

 

Btw,
Thinking that an abnormal situation is not a real life situation is a misnomer! There are short circuit protection/reverse polarity protection in many devices which says the design has to be robust !

Yes and that's on a DC system. An AC induction motor is entirely different and the motor manufacturer assumes that their product will be installed and operated by persons with enough basic knowledge and skill to properly install their product along with the necessary protection devices needed based on the information they supply such as the power line connection diagrams and relating motor nameplate data.

Do you think that a typical person who lacks the knowledge to properly wire a two line single phase electric motor (doesn't know a damn thing about electricity either) when given the information right on the motor or in the installation instructions sheets will be able to understand a mathematical formula complex enough to model what will happen if they wire it wrong? I don't.

What I can anticipate will happen is that either too much to too little voltage and current will be applied to one or more winding sets resulting in either no rotor rotation, weak rotor rotation, rotation in the wrong direction, and or smoke coming out of the motor.