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Question

Physics Question on Combination of capacitors

The minimum and maximum capacitances, which may be obtained by the combination of three capacitors each of capacitance 6μ\mu F are

A

6μ\muF and 18 μ\muF

B

2 μ\muF and 18μ\muF

C

2 μ\muF and 12 μ\muF

D

6μ\mu F and 12μ\mu F

Answer

2 μ\muF and 18μ\muF

Explanation

Solution

In series capacitance is minimum
Cmin=6/3=2μFC_{min} =6/3 =2\mu F
In parallel capacitance is maximum
Cmax=(6×3)=18μFC_{max} =\left(6\times3\right) =18 \mu F