2. Consider the circuit to the right with a switch that can be set to connect either point A or point B or neither. 4 V6 n B Let the battery voltage be Vb. Assume that the switch is in the all off position shown for a very long time. a) At time=0, the switch connects to point A. What happens to the Capacitor, in words? b) What is the functional form of the charge Q(t) on the positive (upper) plate of the capacitor. Draw this shape on a plot of Q(t) vs t. c) Find the functional form of I(t) from direct differentiation of Q(t), ie., l=dQ/dt. d) What is the peak current at time=0. Note that it is when the slope of Q is the highest at t=0. e) At some later time t1, the switch is moved to connect point B. What happens to the charge on the capacitor after time t>t1? What is this called? f) What is the functional form of Q(t) starting from Q(t1) for t>t1. g) Is the RC constant the same while connected to A and to B? h) What is the direction of current flow when connected to the battery and A and when the switch is connected to B. i) Sketch the full Q(t) for t>0 and after t1=(R1*C) assuming R2=3 R1.