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Five capacitors of 10 \mu F each are connected to a d.c. potential of 100 V as shown in the adjoining figure. The equivalent capacitance between points A and B is

1. 40 \mu F
2. 20 \mu F
3. 30 \mu F
4. 10 \mu F

Correct answer: 10 \mu F

Solution

The network shown reduces to an equivalent capacitance of 10 \mu F between A and B after applying series-parallel simplification and symmetry. The applied 100 V does not affect the equivalent capacitance, only the charge and energy.

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