Electronic – How to measure capacitance without LC meter

If it were me , I would not only measure C & tan delta but ESR as well and test to 10MHz.

You can use a scope rear sweep signal to drive an FM generator, but 50 Ohm is not the best source.

If you cant scrape a simple AC current source design to generate cap impedance as the output voltage, use a voltage source (ie. darlington emitter follower to drive the cap with an adjustment for DC offset +/-2 V and monitor current with a 1 Ohm shunt. The scope can show the DC bias on one channel and ac coupled envelope synced to scope sweep. This is a quick & dirty method. XY mode of V vs I is another method.

Very large electrolytic capacitors are generally used at relatively low frequencies (below 1 kHz) to smooth fluctuating DC voltages such as in power supplies. At 100 kHz, the impedance of an 8200 uF capacitor is less then 1 milliohm. This is very difficult to measure accurately considering wire resistance and the effect of parasitic capacitance and inductance that are inherent in the construction of the capacitor and have significant impedances at 100 kHz. This is why the capacitance of electrolytic capacitors is usually specified at either 60 Hz, 120 Hz or 1000 Hz. It is also why electrolytic capacitors used as bypasses on high speed IC's are almost always placed in parallel with a much smaller capacitor that is more effective at high frequencies.