Q 2.7) Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel.
(1) What is the total capacitance of the combination?
(2) Determine the charge on each capacitor if the combination is connected to a 100 V supply.
(1) Given, C1 = 2pF, C2 = 3pF and C3 = 4pF.
Equivalent capacitance for the parallel combination is given by Ceq .
Therefore, Ceq = C1 + C2 + C3 = 2 + 3 + 4 = 9pF
Hence, total capacitance of the combination is 9pF.
(2) supply voltage, V = 100v
The three capacitors are having the same voltage, V = 100v
q = vc
where,
q = charge
c = capacitance of the capacitor
v = potential difference
for capacitance, c = 2pF
q = 100 x 2 = 200pC = 2 x 10-10C
for capacitance, c = 3pF
q = 100 x 3 = 300pC = 3 x 10-10C
for capacitance, c = 4pF
q = 100 x 4 = 400pC = 4 x 10-10 C
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