Physics

Physics

Problem

![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/82ff4b57b997/2025_11_20_9ad509d56b7bf2a0d815g-10.jpg) 1985E2. In the circuit shown above, i1\mathrm{i}_{1} and i2\mathrm{i}_{2} are the currents through resistors R1\mathrm{R}_{1} and R2\mathrm{R}_{2}, respectively. V1, V2\mathrm{V}_{1}, \mathrm{~V}_{2}, and Vc\mathrm{V}_{\mathrm{c}} are the potential differences across resistor R1\mathrm{R}_{1} resistor R2\mathrm{R}_{2}, and capacitor C , respectively. Initially the capacitor is uncharged. a. Calculate the current i1\mathrm{i}_{1} immediately after switch S is closed. b. On the axes below, sketch the potential difference V2\mathrm{V}_{2} as a function of time t . ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/35bdf8c103e4/2025_11_20_9ad509d56b7bf2a0d815g-10.jpg) Assume switch S has been closed for a long time. c. Calculate the current i2\mathrm{i}_{2}. d. Calculate the charge Q on the capacitor. e. Calculate the energy U stored in the capacitor. Now the switch S is opened. f. On the axes below, sketch the current i2\mathrm{i}_{2} as a function of time t and clearly indicate initial and final values. ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/ebb30b9ad879/2025_11_20_9ad509d56b7bf2a0d815g-10.jpg)

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