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InterviewSolution
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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 across the combination, find the charge stored and potential difference across each capacitor. |
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Answer» Energy stored = `1/2CV^(2) = 1/2 12 xx 10^(-12) xx 50^(2) J` `= 1.5 xx 10^(-8) J` If, `1/(C_(eq)) = (1/12+ 1/6) pF` `1/(C_(eq)) = 1/4 pF , C_(eq) = 4 xx 10^(-12)F` `Q = C_(eq) V = 4 xx 10^(-12)C xx 50= 200 xx 10^(-12)C` Voltage across 12 pF capacitor `= Q/C = (200 xx 10^(-12))/(12 xx 10^(-12)) =16.67V` Voltage across `16pF` capacitor `= (200 xx 10^(-12))/(16 xx 10^(-12)) = 33.33 V`. |
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