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The time constant of a circuit containing a 1 picofarad capacitor and a

10 KOhm resistor is 10K picoseconds, or 10 nanoseconds.

(This is an awfully short period of time. Is the question mis-stated?)

=================================

Another contributor observed:

It's even worse than that! The question was apparently ".01 pf", not 1 pf,

and tau = 0.1 nanosecond.

Those capacitances are the equivalent of a foot or less of a twisted-pair of wires,

or a few inches of parallel printed trace. Sub-nanosecond time constants might

arise in microwave devices ... I don't know, I just use these black boxes in systems.

In any case, as weird and suspect as the numbers may be, the first contributor

had the math perfect and the answer bullet-proof, for the given data.

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