Two_loop_rlc_circuit - Two Loop RLC Circuit Given 11 v Find I 1 0 C 7 F I 2 0 L 2mH I 3(0 R1 5 dI 2 dt(0 R2 8 UL R3 7 UC I 2(T I 3(T The circuit

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Two Loop RLC Circuit Given: 11 v F i n d : ? ) 0 ( 1 I F C 7 ? ) 0 ( 2 I ? ) 0 ( 3 mH L 2 I 5 1 R ? ) 0 ( / 2 dt dI 8 2 R ? L U 7 3 R ? C U ? ) ( 2 T I ? ) ( 3 T I The circuit parameters in the diagram above have the following values: E = 11 V, C = 7 μF, L = 2 mH, R 1 = 5 , R 2 = 8 , and R 3 = 7 . After it has been open for a long time, the switch is closed at t = 0. (a) Find the currents at t = 0+. (Current arrows in the circuit diagram define conventions for positive directions). (b) At what rate is I 2 increasing right after the switch is closed? (c) After the switch has been closed for a long time, how much energy is stored in the inductor? (d) After the switch has been closed for a long time, how much energy is stored in the capacitor? (e) After the switch has been closed for a long time, it is opened at time T . Calculate the currents I 2 and I 3 immediately afterward.(Note: A positive value denotes current traveling in the direction shown in the diagram.) Solutions
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a.) To find
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This note was uploaded on 01/26/2012 for the course PHYSICS 211 taught by Professor Selig during the Fall '10 term at University of Illinois, Urbana Champaign.

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Two_loop_rlc_circuit - Two Loop RLC Circuit Given 11 v Find I 1 0 C 7 F I 2 0 L 2mH I 3(0 R1 5 dI 2 dt(0 R2 8 UL R3 7 UC I 2(T I 3(T The circuit

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