Equation for voltage across capacitor in series RC circuit is as follow,
vc = V(1-e-t/RC)
V = DC voltage source.
So theoretically time taken for capacitor to charge up to V volt is INFINITY.
But practically we assume 95% or 98% of source voltage as fully charge.
RC is the time constant which is the time take for capacitor to charge 63%. In this case time constant is
500uF*2.7Kohm = 1.3sec
Time taken to charge 95% = 3*T = 3*1.3 = 3.9sec
T = time constant
Time taken to charge 98% = 4*T = 4*1.3 = 5.2sec
Take two electrolytic capacitors of the same voltage and capacity, connect the positive leads together and connect the negative leads to the circuit. Just keep in mind that this will reduce the cap. value by half (2, 1000uF caps = 500uF) Also the voltage of the circuit should not exceed the voltage of one of the caps.
It will depend on the application. If you are trying to rapair some thing which as per design needs 470uF capacitor but you only have 100uF capacitors available., you can put 5 of these in parallel if possible (if SMD you can put one on top of another and solder). That will give you a total of 500uF close to the original value. - Neeraj Sharma