hello!

how i calculate the R thevenin ,if i got positive V open circuit, and i got negative I-short-circuit. is it correctly to calculate with the absolute value of I-short-circuit?? (beacause the minus sign of the current is just to show direction?)

 

Show as a circuit diagram.

 

what i did

 

I forgot to add wire under the 3Ix source..

 

The image is not clear but your answer in Voc is wrong.
Voc is the voltage across the source 30Ix and the resistor 10Ω in series. Therefore,
Voc = -30Ix + 10*(-1.5Ix) = -45Ix.

To find Isc you can use KCV at the top-right corner of the circuit.
How can you know 1.5Ix * 20 = -30?
You forgot the voltage across current sources.

PS. Can you rewrite your works about Voc here?

 

Also Rht answer is wrong.

Rth = 300V/10Ω = 30A

I also don't like you transformation the 15IX CCVS into 1.5Ix CCCS.

 

 

I use nodal analysis and I write the two nodal equation

30A = Vx/10Ω + 3Ix + Va/10Ω

but Ix = Va/10Ω

so we have

30A = Vx/10Ω + 3*Va/10Ω + Va/10Ω

and one additional equation for supernode

Vx - Va = 15*Va/10Ω

and we have a solution for Vth

The Vab = Vth = Voc = 600/13 = 46.1538V

 

ok. great job

but i don't understand why my way is incorrect?

 

ok. great job

but i don't understand why my way is incorrect?

You haven't given a clear development of what your method involves.
In addition it should be clear why the short circuit case is a trivial exercise.

 

Contrary to conventional wisdom, it is interesting that one can find the Thevenin voltage using superposition. It is often argued one cannot use superposition in circuits where dependent sources are included.

The process as I see it ...

For the 30A current source, the contribution to ix is 15A
For the 3*ix dependent current source, the contribution is -3*ix/2 or (-1.5*ix) Ampere
For the 15*ix dependent voltage source, the contribution is -15*ix[Volts]/20[Ω] or -0.75*ix Ampere.

So from superposition one may write

ix=15 -1.5*ix-0.75*ix

or

ix*(1+1.5+0.75)=15

and

ix=15/3.25=4.615385 Ampere.

giving

Vth=10*ix=46.15385 Volt.

 

Jony,
Can you tell me where is the Vb?
I am not quite understand your solution.
And in finding Voc can we use the circuit in paper that amichayfeldman used?
I can't find Ix from that circuit.

 

Jony,
Can you tell me where is the Vb?
I am not quite understand your solution.

Look again at my post 8. A correct the error.

And in finding Voc can we use the circuit in paper that amichayfeldman used?
I can find Ix from that circuit.

I don't think so. I don't like his method. But maybe some more knowledgeable member in circuit theory can help you.

 

Thanks, it is easy to understand now.
I am curious to know how can we find Voc from the circuit.

It made me think that Voc is a function of Ix but that is wrong!!!

 

You get wrong answer, because for me this "source transformation" done by amichayfeldman don't work as expected.
Conversion 3Ix current source into voltage one should work. But I don't know why this also don't work.
But I complicity don't like the way he transform the 15Ix CCVS into 1.5Ix CCCS.

 

Uhm, I see what is wrong here. A voltage source with parallel resistor can't be transformed to a current source with the resistor in series.
I didn't notice it.

 

I have some more thoughts about this 3Ix CCCS into CCVS 30Ix source transformation. And I think that I know the answer why in this case this transformation don't work. Because after transformation the Ix current that flow through 10R resistor will change his value.
See the example

Before source transformation IR1 ≈ 833.33mA and after transformed a current source with a parallel resistor into voltage source with a series resistor. IR1 change his value IR1' ≈ 166.7mA.
So our Ix current change his value so this source transformation is not aloud.
Because we have a current control sources in the example.

 

Hi Jony, I think it will work.
Thevenin-Norton only make sure that voltage and current at terminals unchanged.
After converting 3Ix CCCS into CCVS 30Ix source I think we can continue to figure out Voc.

PS. In your image, I calculated the voltage at the node is 11.66666V. The current flows through R1 is not the same in the two circuits but the voltage and current looking into pair "current source and R1" and "voltage source and R1" are the same.

 

Hi Jony, I think it will work.
Thevenin-Norton only make sure that voltage and current at terminals unchanged.
After converting 3Ix CCCS into CCVS 30Ix source I think we can continue to figure out Voc.

I would like to see how?

PS. In your image, I calculated the voltage at the node is 11.66666V.

In witch node you find 11.67V??

The current flows through R1 is not the same in the two circuits but the voltage and current looking into pair "current source and R1" and "voltage source and R1" are the same.

Yes, but in our case Ix is control current, so after transformation we change transformation current. So how can this transformation holds ?
This can work only if after transformation Ix don't change his value.

 

I would like to see how?

Hum...I got stuck because after transforming from current source to voltage source the control Ix disappear.

In witch node you find 11.67V??

The node that you wrote 8.33333
Maybe I need to go sleep now. I can't focus on anything.