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Q.

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

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Detailed Solution

a) Total capacitance of the parallel combination is given by
$C_{P} = C_{1} + C_{2} + C_{3}; 2 + 3 + 4 = 9 pF$
b) Charge q₁ at $C_{1} = C_{1} V = 2 \times 100 = 200 pC$
Charge q₂ at C₂ is $C_{2} V = 3 \times 100 = 300 pC$
Charge q₃ at C₃ is $C_{3} V = 4 \times 100 = 400 pC$

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