Three capacitors, each possessing a capacitance of 6 F , are provided. The minimum and maximum capacitances that can be formed are

Step-by-step solution

For minimum capacitance, all three capacitors must be connected in series. 1 C_ min = 1 C + 1 C + 1 C 1 C_ min = 1 6 + 1 6 + 1 6 = 3 6 = 1 2 C_ min = 2 F For maximum capacitance, all three capacitors must be connected in parallel. C_ max = C + C + C C_ max = 6 + 6 + 6 = 18 F The minimum and maximum capacitances are 2 F and 18 F respectively.