There capacitors of capacitances 6 μF each are available. The minimum and maximum capacitances, which may be obtained are
Given:
Three capacitors of capacitances 6μF each
i)The minimum capacitance can be obtained by connecting all three capacitors in series.
In series combination, charges on the two plates are same on each capacitor.
The general formula for effective capacitance of a series combination of n capacitors is given by
The equivalent capacitance in this case is given by
⇒
ii) The maximum capacitance can be obtained by connecting all three capacitors in parallel.
In this case, the same potential difference is applied across all capacitors.
The equivalent capacitance in this case is given by
⇒ Ceq=3C
Ceq=3× 6=18μF
Therefore, the maximum and minimum capacitance that can be obtained is 18μF and 2μF respectively.