# Calculation of resistor and capacitor values

Taking the circuit from this question: Photodiode driver circuit, shown again as image: I am now wondering how to calculate the exact needed values for the different resistors and capacitors (in the image placeholder values were used). For the photo diode PD24-01-HS is used (with data sheet here: http://www.ibsg-st-petersburg.com/datasheet/PD/PD24-01-HS.pdf)

From the other question I already know that R2 and the diode are a RC coupled circuit, leading to (if I want to have a frequency of 3 GHz, and assuming that the negative bias voltage in worst case is -3 V) a necessary resistance value for R2 of approximately 40 Ohm. How big should now C2 be? And how big should C1 (which flattens the input voltage) be?

• C2 is largely determined by what isn't shown i.e. what the output connects to. Aug 3, 2016 at 11:49
• When saying, BNC with 50 Ohm, how can I then calculate C2? Aug 3, 2016 at 11:50
• What is the lowest frequency you will want to transmit? Aug 3, 2016 at 11:50
• Several kHz, or if possible, some Hz, no exact limit given. Aug 3, 2016 at 11:52
• @arc_lupus There is no ideal value if you don't give us any borders for the frequency, as it affects the required capacitor size. Typically the value for the cap will decrease when the required frequency is higher. Aug 3, 2016 at 11:58

Basically you have a source impedance that is approximately equal to R2 i.e. 200 ohms and you want to drive a 50 ohm coax that presumably will be terminated in 50 ohms to avoid reflections at the high frequencies (up to 3 GHz).

If you want the lowest frequency to pass to be (say) 10 Hz then C2 has to have a reactance of no more than 50 ohms at 10 Hz i.e. C2 is 318 uF minimum.

You have it shown at 10 nF so it is massively too small. On the other hand you cannot use a 330 uF capacitor to drive 3 GHz so you have to parallel up capacitors to spread their respective self-resonant-frequencies but, at 3 GHz the 330 uF capacitor is going to cause local reflections due to its very large size.

I think this problem is under-constrained or you're expectations need massaging.

• How can I determine the capacitor size needed for the 3 GHz? The higher border is more important than the lower one, here I am more flexible. Edit: For 50 Ohms at 3 GHz I would need ~1 pF. Would that mean that for lower frequencies I need another capacitor? Aug 3, 2016 at 12:07
• You would need a minimum of 1 pF so 100 pF is realistic for 3 GHz but, due to self resonant frequencies a 10 nF capacitor would not. See my answer in this (electronics.stackexchange.com/questions/232631/…) question regards SRF of caps. See also this: electronics.stackexchange.com/questions/172447/… Aug 3, 2016 at 12:16
• What happens if I reduce the size of R2 to (as written in the question) 40 Ohms or lower? Then C2 has to be bigger, imho. Is that correct? Aug 3, 2016 at 12:29
• No, the output impedance i.e. the 50 ohm coax determines the loading. Aug 3, 2016 at 12:42
• @arc_lupus if we're done here, please formally accept my answer or raise a new comment if you need clarification of something. Feb 23, 2021 at 14:16