(8 points] Consider the circuit shown below, Assume the battery, all wires, resistors, and capacitors are ideal. Numerical values for all circuit lements are shown at the right of the circuit diagram: remember that # = 10-6 and k (kilo) = 103. The switch has been in position 1 for a very long time; it is moved to position 2 at t = 0 s. Show all steps of all work for full credit. . E = 120 V . a = 2 UF R . W . G = 3 MF Rz . R1 = 50 kn WWW R . R2 = 100 ks . R3 = 25 kn (a) What is the time constant for this circuit? Keep three significant figures for your answer and don't forget units. (b) What is the numerical value for the current through the circuit immediately after the switch is moved from position 1 to position 2? Keep three significant figures for your answer and don't forget units. c) At what time is the current through the circuit one fourth of the value you found in part (b)? Keep three significant figures for your answer and don't forget units. What is the current through the circuit at very, very long times after the switch has been in position 2