Find the Impendance

Thread Starter

arhzz1

Joined Oct 21, 2020
42
Determine the impedance Zx so that UAB is independent of any load
Z is. No double fractions may appear in the result.
By which component can the impedance Zx
will be realized? What value has
this component?
Note: The result Zx → ∞ is not sought.

hheeh.png

I've used a method we were shown in class where we simply close the circuit on the left (meaning there will be wires where U is) and go from point A to point B.That would mean that these capacitors are in series. Now I've put calculated Zx like this;


ssss.png

Now if my algebra is not faulty we can make the denominator look like this;


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After simplifying;

rrrrr.png

Now the solution should be;

qqqqqq.png

I do not understand how they get to this.We've solved a similar problem like this in class and I'm pretty sure the method I used is not the problem but rather my algebra,or lack of if you will. Any insights?

Many thanks!
 

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MrChips

Joined Oct 2, 2009
25,918
The minus sign means that there is 180° phase difference.
Take the absolute value for the impedance as your answer.
 

Thread Starter

arhzz1

Joined Oct 21, 2020
42
The minus sign means that there is 180° phase difference.
Take the absolute value for the impedance as your answer.
Hmmm okay that would make sence but could you clear up a few things. The 180 phase difference would be the diffrence between the condensators and the inductor? Also what effect would it have for further calculations ? Given I simply take the absolute value.
 
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