Question

1) Three capacitors of capacitances $2pF,3pF\text{and}4pF$ are connected in parallel.
A) What is the total capacitance of the combination?

2) Three capacitors of capacitances $2pF,3pF\text{and}4pF$ are connected in parallel.
B)Determine the charge on each capacitor if the combination is connected to a $100V$ supply?

Answer 1

1) Given, $C_1=2pF,C_2=3pF,C_3=4pF$

Equivalent capacitance :-

$C_{eq}=C_1+C_2+C_3$

$C_{eq}=9pF$


2) Charge on capacitor $C_1$ :-
$Q_1=C_{1}V=(2\times {10}^{-12}\times 100)$

$=2\times {10}^{-10}C$

Charge on capacitor $C_2$
$Q_2=C_{2}V=(3\times {10}^{-12}\times 100)$

$=3\times {10}^{-10}C$

Charge on capacitor $C_3$
$Q_3=C_{3}V=(4\times {10}^{-12}\times 100)$

$=4\times {10}^{-10}C$