In the circuit shown in the figure,what happens in the steady state?

At time $t = 0$,the switch $K$ is closed. Which of the following statements is true for the current '$i$' flowing through the resistor $AB$ in the given circuit?

What will be the current through the $200 \Omega$ resistor in the given circuit, a long time after the switch $K$ is closed?

$A$ parallel plate capacitor is charged to a potential difference of $50 \, V$. It is discharged through a resistance. After $1 \, s$,the potential difference between the plates becomes $40 \, V$. Then:

Identify the valid statements relevant to the given circuit at the instant when the key is closed.
$A.$ There will be no current through resistor $R.$
$B.$ There will be maximum current in the connecting wires.
$C.$ Potential difference between the capacitor plates $A$ and $B$ is minimum.
$D.$ Charge on the capacitor plates is minimum.
Choose the correct answer from the options given below $:$

Let $C$ be the capacitance of a capacitor discharging through a resistor $R$. Suppose $t_{1}$ is the time taken for the energy stored in the capacitor to reduce to half its initial value and $t_{2}$ is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio $t_{1} / t_{2}$ will be