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MHT CET 2020 (19 Oct, Shift 2) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2020 (19 Oct, Shift 2)

Q70MHT CET 2020 · 19 OCT · SHIFT 2Medium

Combination of Capacitors

Two capacitors of capacities $2\ \mu\text{F}$ and $4\ \mu\text{F}$ are connected in parallel. A third capacitor of $6\ \mu\text{F}$ capacity is connected in series with this combination. A battery of 12 V is connected across this combination. The charge on $2\ \mu\text{F}$ capacitor is

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Answer: (a)

$2 + 4 = 6\ \mu\text{F}$ in parallel, in series with $6\ \mu\text{F}$ : $C_{eq} = 3\ \mu\text{F}$ .
Total charge $Q = 3\times12 = 36\ \mu\text{C}$ .
Voltage across parallel part $= \frac{36}{6} = 6\ \text{V}$ .
Charge on $2\ \mu\text{F}$ $= 2\times6 = 12\ \mu\text{C}$ . So the answer is (a).

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