**Background:** I'm sampling the current through a capacitor. The signal of interest is the voltage across the capacitor. I will digitally integrate the current measurement to obtain the voltage. 

**Question:** Given that the voltage across the capacitor is bandwidth limited, and I am sampling the derivative of this voltage, what is the minimum sample rate required to perfectly reconstruct the voltage signal from the current samples?

If there is no canned answer to this question, anything that could point me in the right direction would be helpful. Thank you in advance for any help!!