PUC Karnataka Science Class 12Department of Pre-University Education, Karnataka
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A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? If another capacitor of 6 pF is connected in series with it with the same battery connected across the combination, find the charge stored and potential difference across each capacitor. - PUC Karnataka Science Class 12 - Physics

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Question

A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? If another capacitor of 6 pF is connected in series with it with the same battery connected across the combination, find the charge stored and potential difference across each capacitor. 

Solution

`E=1/2CV^2`

`E=1/2×12×10^-12×(50)^2`

`E=1.5×10^-8 J`

`C_(eqv)=(C_1C_2)/(C_1+C_2)`

`=(12×6)/(12+6)`

`=72/18`

`=4×10^-12 F`

`Q=C_(eqv)V`

`=4×10^-12×50`

`=200×10^-12 C`

Charge stored in both capacitor is `200×10^-12 C`.

Voltage across 12 pF capacitor is `=Q/C= (200×10^-12)/(12×10^-12)=200/12=16.67 V`

Voltage across 12 pF capacitor is`=Q/C= (200×10^-12)/(6×10^-12)=200/6=33.33 V`

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Solution A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? If another capacitor of 6 pF is connected in series with it with the same battery connected across the combination, find the charge stored and potential difference across each capacitor. Concept: Electrostatics of Conductors.
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