Question

Two capacitors of capacity $20\mu \text{F}$ and $40\mu \text{F}$ are connected in parallel and the potential difference across them is $10\text{V}.$ The charge on the positive plate of $20\mu \text{F}$ is

• A. $400\mu \text{C}$
• B. $20\mu \text{C}$
• C. $200\mu \text{C}$
• D. $40\mu \text{C}$

Answer 1

The correct option is C $200\mu \text{C}$

Given the two capacitors are connected in parallel and the potential difference across them is $10\text{V}.$

For the $20\mu \text{F}$ capacitor, using $Q=CV,$ we get

$Q=20\mu \text{F}\times 10\text{V}=200\mu \text{C}$

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

Key concept: Charge on a capacitor in parallel arrangement in a circuit.