1. The problem statement, all variables and given/known data With a 12V battery, a 5.00µF capacitor and a 8x105Ω resistor determine the following: a) The time constant of the circuit b) The maximum charge on the capacitor c) The maximum current in the circuit d) The charge on the capacitor as a function of time, q(t) e) The current in the circuit as a function of time, I(t) f) The time until the charge on the capacitor is 75% of it’s maximum value A long time later the capacitor starts fully charged. At this new t=0, starting with a fully charged capacitor, the switch is moved to position b. Determine the following: g) The charge on the capacitor as a function of time, q(t) h) The current in the circuit as a function of time, I(t) i) The time for the capacitor to reach 15% of it’s maximum value 2. Relevant equations τ = RC q = CV V = IR Charging: q = CV(1-e^(-t/RC)) i = (V/R)e^(-t/RC) V = (q/C) = V(1-e^(-t/RC)) Discharging: q = qₒe^(-t/RC) i = -(qₒ/RC)e^(-t/RC) 3. The attempt at a solution a) RC = (5x10^-6)(8x10^5) = 4 seconds b) I am not sure what the question is asking. Obviously it wants the maximum charge but does it want that maximum when t = 0 or at some other point? I said the answer was zero but I am not sure. c) Once again it depends on the time. Right after t = 0 all the current is on the resistor but before that at t = 0 there is no current in the circuit. So for t = 0 the answer is zero but just after zero say like .01 sec the current is all on the resistor: R = V/I = 12/(8x10^5) = 1.5x10^-5 A. d) Same problem not sure what time I should be looking at. At t = 0 the answer is zero. e) At t = 0 it is zero again. f) Not sure how to do this part. The next few questions I think will be better if left alone until I get the previous set. Any help would be appreciated, mostly I need to know if what I am assuming the questions are asking is correct. Also, any other help would be appreciated.