(14%) Problem 3: The circuit shown contains a voltage source with emf e = 5.99 V, a resistor with resistance R = 135 1:9, and a capacitor with capacitance C = 507 HP. When switch S is set to R position a, the three circuit elements are in series. When the switch is in position b, the battery is (I 1; S excluded from the circuit. The switch is initially moved to position a where it remains for a sufciently long time that the capacitor is fully charged. [ 1|1cc\\[lcrll;:.cnm & 17% Part (:1) Calculate 'ie maximum Charge, in coulombs, on the capacitor. 17% Part (b) The switch is moved from position a, but it is not connected to position b, so the circuit not a complete circuit. What will happen to the voltage across the capacitor? The voltage will not change. V Correct! & 17% Part (c) The switch is now moved to position b. What is the magnitude of the instantaneous current, in amperes, through resistor at the instant the switch makes contact with terminal 13? $3 17% Part (d) With time measured from the instant that switch S is closed in position b, enter an expression for the voltage across the capacitor as a function of time. V(t) = l &; E ( 7 S 9 C e 4 5 6 Q 1 2 3 t + - 0 w/() | Submit ' | I give up! Hints: _ for a deduction. Hints remaining: _ Feedback: deduction per feedback. -How is the potential across the capacitor related to the charge and capacitance? -The charge is not constant here how does the charge on a discharging capacitor vary with time? Q 17% Part (e) With time measured from the instant that switch S is closed in position b, calculate the time, in seconds, when the charge on the capacitor is onehalf of its maximum value. a 17% Part (f) Calculate the current through the resistor, in amperes, at time t = 195.5 ms after the switch is closed in position b