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.

Solution

Given, three capacitors of capacitances
$C_{1} = 2 pF = 2 \times 10^{- 12} F$
$C_{2} = 3 pF = 3 \times 10^{- 12} F$
$C_{3} = 4 pF = 4 \times 10^{- 12} F$

(a) Since the capacitors are connected in parallel we have,
   $C = C_{1} + C_{2} + C_{3}$
$= (2 + 3 + 4) \times 10^{- 12} = 9 \times 10^{- 12} = 9 pF$

(b) Given, $Potential - V = 100 volt$

   $q_{1} = C_{1} V = 2 \times 10^{- 12} \times 100 = 2 \times 10^{- 10} C$

   $q_{2} = C_{2} V = 3 \times 10^{- 12} \times 100 = 3 \times 10^{- 10} C q_{3} = C_{3} V = 4 \times 10^{- 12} \times 100 = 4 \times 10^{- 10} C$

q₁,q₂ and q₃ represent the charge on each capacitor respectively.

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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.

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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.

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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.