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(4%) Problem 24: Discharging a Capacitor: An RC circuit includes a basic switch. In position "a", the battery, resistor and capacitor are connected in series, and the capacitor charges. In position "b", the battery is replaced with a short, and the capacitor will discharge. Two voltmeters and an ammeter have been added to the circuit. Vo- answers.com VR R Gharging C. Vc 10% Part (a) With the capacitor being charged to some degree, the switch is moved to position "b", and the capacitor begins discharging. At any given rged capacitor instant in the process, let / represent the current flowing through the ammeter, and let q represent the charge that remains on the positively plate. Enter an expression for Kirchhoff's Loop Rule where the sum of the voltage changes totals zero. dq for I in your expression from the previous step. With a little algebra, rearrange your A 10% Part (b) Since current is the rate of charge flow, substitute dr expression so that all references to time appear on the left-hand side, and all references to charge appear on the right-hand side. Input an expression for the right- hand side of your equation that is equal to where r = RC. (Henceforth we use a short-hand notation for the "time constant" and substitute r for the dr product RC.) & 10% Part (c) Assume that the capacitor has an initial charge qo when the switch is moved to position "b" at time to. Which of these equations is a correctly written integral expression including the correct limits? (Recall the shorthand notation for the time constant introduced in the previous step, r = RC.) A 10% Part (d) Input an expression for the charge on the capacitor as a function of time. 10% Part (e) For the time period while the capacitor is discharging, what is the magnitude of the maximum value of the current? & 10% Part (f) Input an expression for the current as a function of time. You must write your expression in terms of Imax- 10% Part (g) Enter an expression for the voltage measured across the resistor, Vg, as a function of time. 10% Part (h) Enter an expression for the maximum voltage measured across the capacitor, Vmax, during the period of time starting with the switch being moved to position "b", 10% Part (1) Enter an expression for the voltage measured across the capacitor, Ve, as a function of time. Your expression must be in terms of the Vmas entered in the previous step. Grade Summary Deductions tatist 0% 1005