Question

Two capacitors of $400\mu \text{F}$ and $600\mu \text{F}$ are connected in parallel to a battery of $100\text{V}.$ Find the ratio of charge stored in $400\mu \text{F}$ to charge stored in $600\mu \text{F}$.

• A. $2:3$
• B. $1:3$
• C. $1:2$
• D. $3:2$

Answer 1

The correct option is A $2:3$

The capacitors are in parallel, which implies that the potential difference across both the capacitors will be $100\text{V}.$

Now the charge on $400\mu \text{F}$

$Q_1=C_{1}V=40000\mu \text{C}$

And the charge on $600\mu \text{F}$,

$Q_2=C_{2}V=60000\mu \text{C}$

So, $Q_1/Q_2=2/3$

Hence, option $\left(a\right)$ is correct.

Key Concept : Charge on capacitors in parallel combination in a circuit.