Shown three sections of the circuit that are to be connecte in turn to the same battery via a switch. The resistors are all identical, as are capactiors. Rank the sections according to


a. the final (equilibrium) charge on the capacitor.........
b. the time required for the capacitor to reah 50% of its final charge, greatest first.......

Explanation

a. In each case, in steady state (equilibrium), potential difference
across capacitor will be E. So charge in each case will be finally q = CE.

b. `tau_(1) = 2RC, tau_(2) = (R )/(2)C, tau_ (3) = 2RC`
For (1), time constant is the largest so it will take maximum
time. For (2) it is the smallest. So time taken will be in the
order (1) gt (3) gt (2).