equivalent capacitance

Project Description:

part a
given 4 capacitors of the same capacitance c,
(a) list all values of capacitance you could obtain by connecting up to 4 capacitors.
(b) construct a table with two columns: the first column contains all possible values of capacitance in increasing order, and the second column contains all nonequivalent configurations corresponding to each value.

part b
given a box of 10 capacitors, each of capacitance 470μf, find configurations of at least 5 capacitors with equivalent capacitance as close as possible to
(a) 250μf and
(b) 2mf.
show your calculations of equivalent capacitance.

*show all the work and please give easy-to-understand explanation for the calculation.
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