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Three capacitors of capacitances 2 pF, 3...

Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel.
(a) What is the total capacitance of the combination ?
(b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.

Text Solution

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Here ` C_1 = 2 pF, C_2 = 3 pF, C_3 = 4 pF`
(a) Total capacitance of parallel combination
`C = C_1 + C_2 + C_3 = 2 + 3 + 4 = 9 pF = 9 xx 10^(-12) F.`
(b) In parallel combination potential difference across each capacitor = V = 100V
`:. Q_1 = C_1 V = 2 xx 10^(-12) xx 100 = 2 xx 10^(-10) C`
`Q_2 = C_2 V = 3 xx 10^(-12) xx100 = 3 xx 10^(-10) C`
and `Q_3 = C_3 V = 4 xx 10^(-12) xx 100 = 4 xx 10^(-10) C`.
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