Calculating resistance and capacitance given the time constant

I'm currently conducting an experiment where I need to determine what a black-box component consists of. After measuring input and output voltage for various frequencies I have so far determined that the black box is a first degree passive HP filter (RC), i.e. I've also (based on measuring input / output voltage over various frequencies) learnt that the cutoff frequency is around 3200 Hz (which would mean that the time constant is 49.73591971 µs if I understand it correctly).

But now I'm basically stuck... Based on this information, how would I go about finding the exact values for R and C in this black-box circuit?

• To get R, can't you use an ohmmeter on the output? Then compute C form tau. Or is that just a representation of what it does? PS, you have too many digits in your tau... May 10 '15 at 14:20
• There is not enough to calculate this but you can measure the resistance directly by applying a DC voltage to the output and measuring the current. Once you have that divide the time constant by the resistance and you have the capacitance. May 10 '15 at 14:23