Question

$\text{Statement 1:}$ Increasing the charge on the plates of a capacitor increases its capacitance.

$\text{Statement 2:}$ Because $Q=CV$, implies $Q$ is proportional to $C$.

• A. Statement $1$ is right and statement $2$ is wrong.
• B. Both the statements are right.
• C. Statement $1$ is wrong and statement $2$ is right.
• D. Both the statements are wrong.

Answer 1

The correct option is D Both the statements are wrong.

Capacitance of a capacitor only depends upon the shape, size, geometrical placing of the conductors, and the medium between them.

Capacitance is independent of potential difference across its plates or charge. So, the statement $1$ is incorrect.

The proportionality is between charge and voltage, i.e., $Q\propto V$ and $C$ is the constant of proportionality.

Therefore, both the statements are wrong.

Hence, option (d) is the correct alternative.

Key concept: $Q\propto V$ $\Rightarrow Q=CV$