what is the equation switched capacitors

dddd12349999

HELLO
what is the equation that describes the relation between the charging current i(vdd) and that switched capacitors ( c1,c2,c3,c4,c5) if we put into consideration that switches are closing in sequence switch 1,switch 2, . . .switch 5 with a delay time of td


thanks

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Carl Pugh

There is a problem with your circuit.
When the second capacitor is switched, there is an infinite current through the switch.

dddd12349999

can we think about it as a variable capacitor?

SammyS

That's only for an instant.

When the switch for C₂ is closed, the voltages across C₁ & C₂ become equal to each other virtually instantaneously. Then the pair continue to be charged for that point.