In the circuit of the figure below, the switch S has been open for a long time. It is then suddenly closed. Take & = 10.0 V, R, = 56.0 kn, R, = 180 k02, and C = 14.5 pF. R1 R2 i (a) Determine the time constant before the switch is closed. S "b) Determine the time constant after the switch is closed. (c) Let the switch be closed at & = 0. Determine the current in the switch as a function of time. (Assume I is in A and t is in s. Do not enter units in your expression. Use the following as necessary: t.) I =