Analyze this circuit with 2 sources and 4 resistors

[mkamalzayed]

Homework Statement

Find v1,v2,v3 using nodal analysis

Relevant Equations

"I in" ="I out" (KCL)

How does the current flow in this circuit and what is its actual true path, regardless of any directions in the figure?
What does the “5i” above the dependent source mean, and does the current flow according to the dependent source or the independent source?
Are the two resistors 2 ohms and 6 ohms connected in series or parallel?
I want to know more and more from the Veterans in electricity

 

[BvU]

Hi,

How does the current flow in this circuit and what is its actual true path, regardless of any directions in the figure?

That is asking for the final answer. You'll have to carry out the analysis to find it . I.e. set up a system of N equations with N unknowns and solve.

The diamond

represents a dependent voltage source of $5i$ Volts, where $i$ is the current through the $2\Omega$ resistor (

in the diagram). Be sure to use the correct sign.

$\$

 

[berkeman]

Thread closed for Moderation...

 

[berkeman]

Thread is reopened provisionally.

@mkamalzayed -- You are required to show more effort before we can offer tutorial help. Please show us your attempt at setting up the KCL equations, and begin to solve them. I will send you a Personal Message (PM) with some tips for how to use LaTeX to post math equations at PF.

 

[DaveE]

https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic

 

[mkamalzayed]

Hi,


That is asking for the final answer. You'll have to carry out the analysis to find it . I.e. set up a system of N equations with N unknowns and solve.

The diamond View attachment 353099 represents a dependent voltage source of $5i$ Volts, where $i$ is the current through the $2\Omega$ resistor (View attachment 353100 in the diagram). Be sure to use the correct sign.

$\$

Explain more and more

 

[berkeman]

Sigh. Thread is closed again for a bit...

 

[berkeman]

I'm in a PM conversation with the OP at the moment; I'll try to get them to show some effort so we can reopen the thread.

 

[berkeman]

Okay, whew. OP has shown me their work on the problem, so I'll reopen the thread (still provisionally) so they can upload it. I am working with them to help them learn LaTeX, but for the moment they will upload a picture of their hand-written work. (the quality is not too bad, just a little dark)

 

[mkamalzayed]

Explain more and more

I don't the final answer
I want to understand the figure and how the current flows and from any source ???? and I want to understand everything about this figure

Explain more and more

Homework Statement: Find v1,v2,v3 using nodal analysis
Relevant Equations: "I in" ="I out" (KCL)

How does the current flow in this circuit and what is its actual true path, regardless of any directions in the figure?
What does the “5i” above the dependent source mean, and does the current flow according to the dependent source or the independent source?
Are the two resistors 2 ohms and 6 ohms connected in series or parallel?
I want to know more and more from the Veterans in electricity View attachment 353084

 

[berkeman]

Please upload the picture of your work so others can see what you have done. Thanks.

 

[mkamalzayed]

Go ahead

 

[mkamalzayed]

Homework Statement: Find v1,v2,v3 using nodal analysis
Relevant Equations: "I in" ="I out" (KCL)

How does the current flow in this circuit and what is its actual true path, regardless of any directions in the figure?
What does the “5i” above the dependent source mean, and does the current flow according to the dependent source or the independent source?
Are the two resistors 2 ohms and 6 ohms connected in series or parallel?
I want to know more and more from the Veterans in electricity View attachment 353084

 

[BvU]

Can you check your statements

Perhaps it is useful to explicitly declare the three (!) currents at each node.
And 'node 2 has a dependent voltage source' makes no sense!

$\$

 

[BvU]

Explain more and more

It's all pretty basic: you have defined three nodes. At each node KCL says $\sum i=0$.
If you followed my advice

Perhaps it is useful to explicitly declare the three (!) currents at each node.

you have something like the following diagram in front of you:

No worries about the directions of the currents: the correct sign will come out in the analysis.

The KCL for the three nodes give you three equations, Ohm's law four and the two sources two. Nine equations in nine unknowns. Straightforward math to find e.g. $v_2$ first, then $v_1$ and $v_3$.

If you still need 'more and more', you'll first have to clearly summarize what you know already and what it is that inhibits you from dealing with this exercise.

$\$