# Capacitance

In the given problem, C

_{eq}= C_{1}C_{2}C_{3}C_{4}/(C_{1}+ C_{2}+ C_{3}+ C_{4})The answer says the equivalent capacitance is always less than C_{1} but I can’t come up with thy. When I do this, I can’t seem to prove that equivalent capacitance is always less than C_{1}. For example, if I let:

C_{1} = 998 F, C_{2} = 999 F, C_{3} = 1000 F and C_{4} = 10001 F, then I get an answer (767119326 F) and this is much larger than C_{1}. Any suggestions?

(I realize the capacitances used here are very large, but they are just used to make a point.)

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