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? ​

 

[DeeNos]

Hello,

I can understand your frustration in trying to understand this circuit. Let me try to explain it in a simpler way. In this circuit, V2 represents the voltage across a specific component or set of components. The 3amp refers to the current flowing through that component or set of components. The equation V2 = 6 volts is a result of Ohm's law, which states that voltage (V) is equal to current (I) multiplied by resistance (R). In this case, the resistance is not explicitly given, but it is implied to be constant.

Therefore, we can write the equation as V2 = I x R. Since V2 is given as 6 volts and R is constant, we can solve for I by dividing both sides by R. This gives us the equation I = 6 volts/R. Since we know that V2 is equal to 3 amps, we can substitute that into the equation, giving us 3 amps = 6 volts/R. Solving for R, we get R = 6 volts/3 amps, which simplifies to R = 2 ohms.

In summary, the 3amp in the equation represents the current flowing through the component or set of components, and it is multiplied by V2 to give a voltage of 6 volts. This is a result of Ohm's law and the fact that the resistance in this circuit is 2 ohms.

I hope this explanation helps you understand the circuit better. Let me know if you have any further questions.