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A capacitor of 5mF is ok for this type of circuit?

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bonzer:
Hello everyone! Please tell me if you think this is a bad idea. Having a circuit like this with resistors of value about 10kOhm and the second capacitor 300nF. It feels like that 5mF capacitor is too big but I don't know. For that frequency of operation, do they even exist non electrolytic or non polar like ceramic with good frequency response? Would they cost too much? Is this anyway possible? I don't have to implement it practically but anyway I would like to know what are the disadvantages, a part from maybe big dimensions. If it's a huge problem I could anyway solve it by changing some resistor values but please let me know what you think.

Zero999:
10kHz is not a high frequency.

Presumably you mean 0.005F, by 5mF, not 5µF.

Why not make it DC coupled? 5mF and 10k is a time constant of 50s, so it will take around 10 minutes for the DC bias point to be reached.

bonzer:
Oh thanks! I didn't think about it. So it's also a problem in DC.

M4trix:
Good luck finding a 5µF capacitor.  ;)

Audioguru:
5mF is 5 milli Farads which is 5000 micro Farads that is HUGE! A 1uF film capacitor will produce a -3dB cutoff frequency at 16Hz.
Why do you want a peak of more than 10000 times at about 15kHz? When the input is only 5mV peak which is almost nothing then the output will try to be more than 50V peak.
Here is a simulation with a 1uF input capacitor:

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