2. Initially the two switches seen in the gure below are open and the capacitor has a charge 90. The resistances are R1 = R,R2 = 2R,R3 = 3R. The switches are then both closed. (a) Work out how the charge on the capacitor and the current through the capacitor vary in time and verify that for I = 0 and t > 00 , these quantities behave as expected. (b) What is the time constant for this circuit? (c) How much charge is there left on the capacitor after I = 4.4RC ?