# You are given three capacitors of and , respectively.(a) Form a combination of all these capacitors of equivalent capacitance .(b) What is the maximum and minimum value of the equivalent capacitance that can be obtained by connecting these capacitors ?

b)

$\\C_{max}\text{ is obtained when three capacitors are connected in parallel}\\C_{max}=2+4+3=9\mu F$

$\\C_{min}\text{ is obtained when three capacitors are connected in series}\\1/C_{min}=1/2+1/4+1/3=(6+3+4)/12\mu F\\C_{min}=12/13\mu F$

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