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The equivalent capacitance of the combin...

The equivalent capacitance of the combination between `A` and `B` in the given Fig. is `4 muF`
(i) Calculate capacitance of capacitor `C`.
(ii) Calculate charge on each capacitor if a `12 V`
(iii) What will be the potential drop across each capacitor ?

Text Solution

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(i) `:' 20 mu F` and C are in series.
`:. (1)/(4) = (1)/(20) + (1)/(C) rArr (1)/(4) - (1)/(20) = (1)/(C) rArr (5 -1)/(20) = (1)/(C) rArr (4)/(20) = (1)/(C)`
(ii) `:' q = CV`
`q = 4 xx 10^(-6) xx 12 = 48 xx 10^(-6) = 48 mu C`
(iii) `V_(1) = (q)/(C_(1)) = (48 xx 10^(-6))/(20 xx 10^(-6)) = 2.4 V rArr V_(2) = (q)/(C_(2)) = (48 xx 10^(-6))/(5 xx 10^(-6)) = 9.6 V`
`:.` Potential drop across `20 mu F` capacitor = 2.4 V and potential drop across `5 mu F` capacitor = 9.6 V
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