Thevenin's and Norton's Theorem

[ichabodgrant]

Hi. It's me again. Right now I have some troubles with Thevenin's and Norton's theorem.
Here is the circuit.

I have to find the thevenin voltage V_th and thevenin resistance R_th and solve the circuit when there is a 2000Ω resistor connected to A and B.
Then, I try to solve it...

First, for the R_th, I just treat the voltage source as a short circuit and current source as an open circuit. So, the 4000Ω resistor is disconnected.

R_th = 2000Ω

Then, for the V_th, V_th = V_oc.
By using KCL,

5/2000 + 0.1×10^-3 = V_oc/R_th

5/2000 + 0.1×10^-3 = V_oc/2000

∴ V_oc = 5.2 V
i.e. V_th = 5.2 V

Is this correct?

 

[NascentOxygen]

Rth = 2000Ω

Then, for the Vth, Vth = Voc.
By using KCL,

5/2000 + 0.1×10-3 = Voc/Rth

5/2000 + 0.1×10-3 = Voc/2000

∴ Voc = 5.2 V
i.e. Vth = 5.2 V

Looks right.

So what will the Norton equivalent be?

 

[psparky]

Is this correct?

Your answer is correct, I'm not sure I understand your method.

You could also use superposition as well. The voltage source is straight forward at 5 volts (open current source)

The current source is a bit more tricky( short voltage source). .1 amp thru 4K resistor is .4 volts...but you then put it thru the 2K resistor and its .2 volts in th opposite direction.

How can you have two different voltages in two parallel branches?

Must mean there is .2 volts across the current source in the opposite direction of the 4K resistor.
5 +.2 = 5.2 Volts. Or you could do the way above, but superposition is just another way to enjoy and undestand the problem.

 

[ichabodgrant]

I_N = 2.6 x 10^-3 A and R_N = R_th

I had thought about using superposition...
But when I attempted to do this question, I hadn't clearly understood these theorems.
My lecturer just taught too fast... I couldn't really get myself familiar with these theorems just from what he taught in class. So I spent a few hours on youtube, watching some lecture videos... and also asking for your kindly help :P

Thank you very much