Question

Identify the valid statements relevant to the given circuit at the instant when the key is closed.
 

$\text{A}$: There will be no current through resistor R.
$\text{B}$: There will be maximum current in the connecting wires.
$\text{C}$: Potential difference between the capacitor plates A and B is minimum.
$\text{D}$: Charge on the capacitor plates is minimum.
Choose the correct answer from the options given below:

• A. C, D only
• B. B, C, D only
• C. A, C only
• D. A, B, D only

Hint:

At the instant a capacitor is connected in a circuit, it behaves like a short circuit because there is no initial charge, and the potential difference across it is zero.

Answer 1

The Correct Option is B

At the instant when the key is closed, the capacitor behaves as a short circuit because initially, it has no charge, and no potential difference across it.
$A$: There will be no current through resistor $R$.
This is false because current flows initially as the capacitor behaves as a short circuit.
$B$: There will be maximum current in the connecting wires.
This is true because the capacitor is uncharged initially, and maximum current will flow through the circuit.
$C$: Potential difference between the capacitor plates A and B is minimum.
This is true because the capacitor is uncharged initially, so the potential difference across it is zero.
$D$: Charge on the capacitor plates is minimum.
This is true because the capacitor is initially uncharged.
Thus, the correct answer is: $$\boxed{(2)}.$$