First slide

Capacitance

Question

8 identical capacitors each of capacitance 2µF are to be combined to obtain an equivalent capacitor of capacitance 1µF . Then which of the following combinations is possible?

Moderate

A

All capacitors are in series combination
B

All capacitors are in parallel combination
C

4 are connected in parallel combination and two such combinations are connected in series.
D

2 are connected in parallel combination and four such combinations are connected in series.

Solution

$\frac{1}{C_{Ab}} = \frac{1}{2 C} + \frac{1}{2 C} + \frac{1}{2 C} + \frac{1}{2 C} \Rightarrow C_{AB} = \frac{2 C}{4} = \frac{C}{2} = \frac{2 μF}{2} = 1 μF$

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