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.
(a) Capacitances of the given capacitors are
$C_{1}=2 \mathrm{pF}$
$C_{2}=3 \mathrm{pF}$
$C_{3}=4 \mathrm{pF}$
For the parallel combination of the capacitors, equivalent capacitor $C^{\prime}$ is given by the algebraic sum,
$C^{\prime}=2+3+4=9 \mathrm{pF}$
Therefore, total capacitance of the combination is 9 pF.
(b) Supply voltage, V = 100 V
The voltage through all the three capacitors is same = V = 100 V
Charge on a capacitor of capacitance C and potential difference V is given by the relation,
$q=V C \ldots$ (i)
For $C=2 \mathrm{pF}$,
Charge $=V C=100 \times 2=200 \mathrm{pC}=2 \times 10^{-10} \mathrm{C}$
For $C=3 \mathrm{pF}$,
Charge $=V C=100 \times 3=300 \mathrm{pC}=3 \times 10^{-10} \mathrm{C}$
For $C=4 \mathrm{pF}$,
Charge $=V C=100 \times 4=200 \mathrm{pC}=4 \times 10^{-10} \mathrm{C}$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.