As shown in the attachment I want to find an expression for U_out in terms of U_in and it's impedances and as an addition I need find the inductance L. I pretty much need someone to say where I go wrong in my calculation.
I set the node where U_out, C and R comes together and call it node e for now.
Also now I choose to mash up L and R to one impedance (to save time):
Z_LR = Z_L + R
Using currents going in and out of node e I get:
(U_in  e) / Z_LR = e/Z_C
U_in/Z_LR = e(1/Z_LR + 1/Z_C), where e = U_out.
This, however is wrong! I can use the voltage divider to get the correct result (I guess) but I refuse(!!!). The voltage divider formula has zero intuition connected to it when I try to use it, that is why I'll rather use the node method as it (should) get me what I want and understand what i'm doing at the same time.
Where am I doing wrong?
I set the node where U_out, C and R comes together and call it node e for now.
Also now I choose to mash up L and R to one impedance (to save time):
Z_LR = Z_L + R
Using currents going in and out of node e I get:
(U_in  e) / Z_LR = e/Z_C
U_in/Z_LR = e(1/Z_LR + 1/Z_C), where e = U_out.
This, however is wrong! I can use the voltage divider to get the correct result (I guess) but I refuse(!!!). The voltage divider formula has zero intuition connected to it when I try to use it, that is why I'll rather use the node method as it (should) get me what I want and understand what i'm doing at the same time.
Where am I doing wrong?
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