Can someone help me explain the superposition theorem problem?

Hello,

My brother has an electrical engineering exam in two weeks, and unfortunately, I can't solve the problem myself. Can someone explain to me how to calculate I2 using the superposition theorem? The result should be 1.5A.

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isohypse
2 months ago

You calculate it in two duches:

  1. you take the power source out and calculate the current I2
  2. you close the voltage source briefly and calculate I2 again
  3. you add both results
isohypse
2 months ago
Reply to  ManscheJ

How do you know what you do wrong?

isohypse
2 months ago

I built more crap than you…

But in the future, don’t put the picture in a landscape format.

isohypse
2 months ago

I meant the third is right. At the second, you’ve got yourself out.

isohypse
2 months ago

the second is correct, because I swapped R1 and R2.

The second thing is wrong with you: it comes out 0.357A

isohypse
2 months ago

It’s just a scary crochet and banged without a system.

The first I2 is OK.

The second where only the left power source is active: you write

I2 = 1*18(10+18)

?

that would be

I2 = I01*R1/(R23+R1) = 1*2/28=71.43mA

What you did: You counted the case where only the upper power source is active, but with the wrong current 1A, instead of 2A…

So, there’s nothing to fit, go in and do it clean and tidy… that’s pure slutty!

It’s coming out.

I2(ges) = 642,8mA

AMG38
2 months ago

Overlay means that you consider each “power driver” individual. That is to say, each source is considered separately so that the current which leads through it a source can be determined. The resultant current in the circuit is then added as a sign.

(1) – Only U0 active. I01 and I02 in idle (open).

The current I2 is equal to the total current of the circuit. We set the current direction from case (1) as shown.

(2) – Only I01 active. I02 in idle. U0 short circuit.

The current I2 in this case is obtained via the current divider.

We later pay attention to the fact that I2(2) flows against I2(1).

(3) – Only I02 active. U0 short circuit.

Here again power dividers.

Now we add all the substreams to the right sign.

isohypse
2 months ago
Reply to  AMG38

I swapped R1 and R2, your result is true

isohypse
2 months ago
Reply to  AMG38

I criticized the questioner about slutty and was in the end self sloppy 😅

ANNEX This was also partly due to the image rotated through 90°, as I had to turn my head 😅

AMG38
2 months ago
Reply to  isohypse

We cook all with water 🙂