Wrong final result in superposition theorem

In summary, the speaker is struggling with an assignment that involves simplifying a circuit using superposition theorem. They believe the mistake is in the application of the theorem and are seeking help to correct it. They have provided the circuit diagram and equations they used, but are open to suggestions on how to make them more readable. They also mention that the assignment is not in English and apologize for any formatting issues.
  • #1
cel13
3
0
I have this assignment, basically I had to do the same thing in simplified way and then superposition theorem. Apparently the answers don't match. I'm pretty sure the mistake is in superposition theorem. It could be some really stupid and simple mistake I made since I'm no good at this at all.

I'd be really grateful if anyone could help me fix it.

I=U/R
I1=-2,2 I1=5/10
I2=0,4 I2=15/10
I3=-1,8 I3=30/10

K1=I1-I2+I3
K2=E1-E2=I1*R1*R2
K3=E2-E3=I2(R2+R3)
K2=5-15=I1*10+I2*15
I1=10+20+15I2=30+15I2
K22=15*30=I2=(-15)+I3*15
I2=15+30-15+15I3=153

16I2=15I1
I2=0,938I1

I1=30+15*0,938I1
I1=30+I10,7I1
-13,07I1=30
I1=-2,2

I2=0,938*(-2,2)
I2=0,4
I3=-2,2-(-0,4)
I=-1,8
R1kogu=R1+(R2*R3)/R2+R3
R1kogu=10+(15*15)/15+15=10+7,5=17,5
I1=E1/R1total=5/17,5=0,286
U1=R1*I1=17,5*0,286=5,005
I2=U2/R2
I2=0,005/15=0,0003
I3=0,0286-0,0003
I3=0,2867

RtotalR2=(R1*R3)/(R1+R3)=15+(10*15)/(10+15)=6+15=21
I2=15/21=0,714
U2=R2*I2=15*0,714=10,71
U1=U2=E2-U2=15-10,71=4,29
I3=4,29/15=0,286
I1=I2+I3=0,714+0,286
R3total=R3+(R1*R2)/(R1+R2)=15+(10*15)/(10*15)=21
I'''3=15/21=0,714

U3=R3*I'''3=15*0,714=10,71
U1=U3*E3-U3=15-10,71=4,29
I''2=4,29/15=0,286
I'''1=I2+I3=0,714+0,286=1 A

Current: 1A, I2 = 0,286 and I3 = 0,714

So this is it, any kind of help would be greatly appreciated. Thanks for your time.
 

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  • #2
It is hard to help without a picture of the circuit. Could you upload one?
 
  • #3
Oh sorry, I completely forgot it. I attached it now to the original post.
 
  • #4
What's the question? What exactly are you looking for? Is that circuit diagram part of the original question? What is kogu?

It would also help not writing equations like this:

I1=10+20+15I2=30+15I2

The 15*I2 can be mistaken for 1512.

I don't mean to be rude, but most of that is not very easy to follow at all. If you did the actual question like that, it could be why you're getting an error somewhere.
 
  • #5
"Kogu" means total. The assignment isn't in english. I copied it directly from a word document, so the format got messed up a bit. I'll try to make it more readable.

Yes, this circuit diagram came with the assignment. I need help finding an error, the final result is incorrect.
 

1. What is superposition theorem?

The superposition theorem is a principle in physics that states that the total response of a linear system at a given point is the sum of the responses of the individual components at that point.

2. How does superposition theorem apply to electrical circuits?

In electrical circuits, superposition theorem states that the voltage or current at any point in a linear circuit is the algebraic sum of the individual voltages or currents caused by each source acting alone.

3. What is the final result in superposition theorem?

The final result in superposition theorem is the total voltage or current at a given point in a linear circuit, which is calculated by adding the individual voltages or currents caused by each source acting alone.

4. Why might the final result in superposition theorem be wrong?

The final result in superposition theorem may be wrong if the circuit is non-linear or if the sources are not independent. In these cases, the principle of superposition does not apply and the final result may be inaccurate.

5. How can I avoid getting a wrong final result in superposition theorem?

To avoid getting a wrong final result in superposition theorem, you should ensure that the circuit is linear and that the sources are independent. Additionally, it is important to carefully follow the steps of the superposition theorem method and double check your calculations.

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