hw06 - Homework for week 6 Due Thu 3/10(in class...

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Homework for week 6 Due Thu, 3/10 (in class) Instructions: Please explain your reasoning in detail. State where the formulas are coming from, and why they are applicable here. (The goal is, after all, so that we can check and possibly correct your way of thinking.) Please write legibly, and draw large and clearly labeled sketches. 8. A physics graduate student builds the circuit below, with a switch allowing the circuit to close with either battery: (a) First, the graduate student flips the switch to B, connecting the 2 E battery. Assuming the capacitor starts uncharged, what will its charge go to if she waits a very long time? (b) After waiting a long time, the graduate student declares it to be t = 0 and flips the switch from B to A, connecting the E battery. Find Q ( t ) by using Kirchhoff’s rules to get a differential equation and then plugging in the solution to that equation. (hint: what direction does current flow?) (c) Check the t 0 and t → ∞ limits of your answer, and plot Q as a function of time. Does your answer make sense?
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