3. (10 points) Consider an RC circuit without a battery but some initial charge o on the capacitor. (a) (2 points) Sketc

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3 10 Points Consider An Rc Circuit Without A Battery But Some Initial Charge O On The Capacitor A 2 Points Sketc 1 (63.1 KiB) Viewed 43 times

3. (10 points) Consider an RC circuit without a battery but some initial charge o on the capacitor. (a) (2 points) Sketch the circuit, including an open switch. Write down a formula for the energy initially stored on the capacitor Uo. (b) (2 points) Suppose the switch is closed at t = 0. Use Kirchhof rules to find a differential equation for the charge on the capacitor Q(t) as a function of time. (c) (2 points) Find Q(t): give answer in terms R, C, t, and the initial charge Qo. (d) (3 points) Find P(t) the power dissipated by the resistor as a function of time. (e) (1 point) Suppose I calculate the integral S = P(t)dt. What are the units of S? What value will I get? 4 of 6