a$.$ What is the initial current through resistor R$\_(2)$ when the switch is closed $($t$=0)?$

Current through R$\_(2)$ at t$=0$ is

b$.$ What is the current through resistor R$\_(2)$ when the capacitor is fully charged, long after the switch is

closed $($t$->\backslash$infty $)?$

Current through R$\_(2)$ as t$->\backslash$infty is

c$.$ What happens if the switch is opened after it has been closed for some time? Choose the most

correct statement below.

Current flows through C$\_(1)$ but not R$\_(1)$ or R$\_(2).$

No current flows anywhere in the circuit.

Current flows through V$\_(1),$R$\_(1),$R$\_(2),$ and C$\_(1).$

Current flows through R$\_(1)$ and C$\_(1)$ but not R$\_(2).$

Current flows through C$\_(1)$ and R$\_(2)$ but not R$\_(1).$

d$.$ If the switch has been closed for a time period long enough for the capacitor to become fully

charged, and then the switch is opened, how long before the current through resistor R$\_(1)$ reaches

half of its initial value?