What type of functions are these?

[badr]

Homework Statement: Trying to understand electrical calculations in AC
Relevant Equations: I = V/R

Here it is :

 

[kuruman]

Please be more specific about what you cannot understand so that we can explain it.

 

[badr]

Please be more specific about what you cannot understand so that we can explain it.

I want to know what is the composition of these functions , so that I can study them one by one , and do some exercises .

 

[berkeman]

Are you familiar with Ohm's Law? Are you familiar with complex impedances?

 

[DaveE]

https://www.khanacademy.org/science.../v/ac-voltage-across-pure-inductor-derivation

 

[kuruman]

I want to know what is the composition of these functions , so that I can study them one by one , and do some exercises .

"These functions" are sines and cosines. Have you studied them?

 

[badr]

"These functions" are sines and cosines. Have you studied them?

I have not yet studied them , they were part of my apprenticeship years ago but just few examples nothing deep .

I was taking courses in electronics.

I am trying to do a revision while i still have free time.

 

[kuruman]

You might wish to start with the overview shown in this video and follow up with more in the series. The guy in this video seems to talk a lot but he might be what you need because he explains things slowly.

 

[DaveE]

You may need to study or review trigonometry a bit first to learn about sinusoidal functions.
https://www.khanacademy.org/math/al.../v/we-graph-domain-and-range-of-sine-function

 

[badr]

You may need to study or review trigonometry a bit first to learn about sinusoidal functions.
https://www.khanacademy.org/math/al.../v/we-graph-domain-and-range-of-sine-function

Are complex numbers involved by any chance ?

 

[BvU]

Are complex numbers involved by any chance ?

Involving them makes the math 'easier'

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[badr]

Involving them makes the math 'easier'

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Ok is this a good study method ? :

I am more interested in the mathematical side of things by the way and its importance in circuit analysis.

1 ) basic functions

2 ) Trigonometric functions

3 ) complex numbers

4 ) Ac circuit analysis

 

[Gordianus]

I'm an old man and my advice can be plainly outdated, but here it goes:
https://www.accessengineeringlibrary.com/content/book/9781260011968

 

[BvU]

Re Complex numbers

Involving them makes the math 'easier'

because a complex number carries a magnitude and a phase

I can recommend the treatment by @LCkurtz on his website

Introducing complex numbers​

Confused about complex numbers or how to teach the topic? Click on Complex Numbers to read about a natural approach to complex numbers. If you want to print that article, click on pdf version for a pdf document to print.

Impedance in AC circuits​

Using same ideas and notation as in the complex numbers article above, the article Alternating Current Impedance gives a tutorial about why impedance can be modeled with complex numbers. You will need to have some familiarity with Calculus to get the full benefit from that article.

In addition:
I still like the youtube physics videos by Eugene Khutoryansky very much: he uses time (motion) and the 3d training of our brain to the max to make us 'see' more dimensions. And he does have a 14 minute one on complex numbers (and nicely following the 'plane numbers' path @LCKurtz describes )

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[badr]

Thanks everybody, I am getting the picture clear now.

Time to dive in.