Question

Three capacitors $C_1,C_2$ and $C_3$ are connected to a battery of $6V$ as shown in figure. Find the charges on the three capacitors.

• A. $(30\mu C,15\mu C,15\mu C)$
• B. $(20\mu C,15\mu C,15\mu C)$
• C. $(30\mu C,10\mu C,15\mu C)$
• D. $(30\mu C,15\mu C,5\mu C)$

Answer 1

The correct option is A $(30\mu C,15\mu C,15\mu C)$

In IMAGE 01 In parallel combination

$C_p=5+5=10\mu F$

In IMAGE 02 The series combination

$\frac{1}{C_s}=\frac{1}{10}+\frac{1}{10}$

$\Rightarrow C_s=5\mu F$

In IMAGE 03

$Q=CV$

$5\times 6=30\mu C$

Charges distribution

[As the capacitance are same, so charge will distribute equally]

So,

$Q_1=30\mu C$

$Q_2=15\mu C$

$Q_3=15\mu C$