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.



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;




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




After simplifying;



Now the solution should be;



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!

 

Can you see that

\(\frac{1}{j} = - j\)

 

Can you see that

1 / j = - j

Yes,if I would to put j in the nummerator it would be negative,but I need it to be positive

 

The minus sign means that there is 180° phase difference.
Take the absolute value for the impedance as your answer.

 

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.