Does every branch of this problem has no effect of the other branches ?

so the current i is basically
i=2/40 ?

 

Or
are the 3 branches are parallel ?

 

How many poles do you see? I see only 2, meaning the legs are in parallel. You could redraw the legs to all be vertical, from one pole bus at the top to the other bus at the bottom.

 

something like this?

 

Yes, like that. But it is not correct to conclude that they do not effect each other. The voltage from 'a' to 'b' is a function of all three branches interacting.

 

thanks , i was kinda hesitated [exams frustrations] :3

 

Why not apply the Kirchhoff's laws ?

 

something like this?
View attachment 119239

I prefer straight lines and would typically draw the components in a vertical configuration, but yes.

 

The voltage from 'a' to 'b' is a function of all three branches interacting.

Agreed. Once you have your drawing, making it easier to visualize and analyze the circuit, try removing any one of the legs. Does the solution change? If it does, then they are not independent.

 

Model it...

http://falstad.com/circuit/

 

something like this?
View attachment 119239

Hi,

Yes, just like that, but less blurry

Do you know how to use superposition? If so you can use that to find the solution as that is one way to solve multiple source circuits.