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Standard XII
Physics
Combination of Capacitors
Question

A $$1\mu F$$ and a $$2\mu F$$ capacitor are connected in series across a $$1200$$V supply.
The charged capacitors are disconnected from the line and from each other, and are now reconnected with terminals of like sign together. Find the final charge on each capacitor and voltage across each capacitor.

A
Charge on capacitors: $$\left(\dfrac{1400}{3}\right)\mu C$$ and $$\left(\dfrac{3200}{3}\right)\mu C$$; potential difference across each capacitor: $$\left(\dfrac{1600}{3}\right)V$$
B
Charge on each capacitor is $$1600\mu C$$ and potential difference across each capacitor is $$800$$V
C
Charge on capacitors: $$\left(\dfrac{1600}{3}\right)\mu C$$ and $$\left(\dfrac{3200}{3}\right)\mu C$$; potential difference across each capacitor: $$\left(\dfrac{1600}{3}\right)V$$
D
Charge and potential difference across each capacitor are zero
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Solution
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Correct option is B. Charge on capacitors: $$\left(\dfrac{1600}{3}\right)\mu C$$ and $$\left(\dfrac{3200}{3}\right)\mu C$$; potential difference across each capacitor: $$\left(\dfrac{1600}{3}\right)V$$

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