Circuit Analysis: Understand V2 & 3amp Equation

[fran1942]

Hello, I have tried really hard to understand this circuit but I just can't grasp it.

I am trying to understand how V2 comes to 6 volts ie. where does the 3amp come from that is multiplied by the value of V2 to give 6 volts.
It would help a lot if I could see the linear equation which gives 3 amps for the relevant loop.

Thanks kindly for any help with this.

 

[tiny-tim]

hello fran1942!

use KCL to find the current through the bottom wire, directly under the 2Ω …

how much is that, and how does it help you to find the current through the 2Ω itself?

 

[fran1942]

OK thanks. I see that current will be the combination of the 2 and the 1, making 3. Is it as simple as that ?

The main thing bugging me was that I could not work out the linear equation to give that 3amps.
Could someone please help with that equation.

Thanks again.

 

[tiny-tim]

… I could not work out the linear equation to give that 3amps.

not following you …

the KCL linear equation for that junction under I₂ is 1 + 2 = 3 …

what is worrying you about that? ​