Question

The total charge on the system of capacitors C1 = 1 μF, C2 = 2 μF, C3 = 4 μF and C4 = 3 μF, connected in parallel is :
(Assume a battery of 20 V is connected to the combination)

• A. $200\ μC$
• B. $200\ C$
• C. $10\ μC$
• D. $10\ C$

Answer 1

Answer: (A)

$200\ μC$

Answer 2

Equivalent capacitance C is:
$C = ΣC_i$
$C= 1\ μF+2\ μF+4\ μF+3\ μF$
$C= 10\ μF$
Charge, $Q = CV$
$Q = 10\ μF \times 20\ V$
$Q = 200\ μC$

So, the correct option is (A): $200\ μC.$