The circuit components have values C1 = 5μF, C2 = 10μF, R1 = 2 Ω, R2 = 4 Ω, and R3 = 1Ω. Initially the battery is disconnected from the circuit. 1. The battery is connected to the circuit at t = 0 with both switches S1 and S2 initially open. What is the time constant of this RC circuit? What magnitude of the charge is on C1 five seconds after the battery is connected? 2. If S1 is, instead, initially closed when the battery is connected, discuss the qualitative behavior of the current flowing through R2 as a function of time (i) after a short time has passed since the battery was connected, and (ii) after a long time has passed since the battery was connected. (iii) How much energy is stored in C1 after a long time has passed? 3. Now consider the case where both switches are initially open and we connect the battery for a long time. We then disconnect the battery and then flip S2 closed. Find the current flowing through R3 as a function of time. What is the potential difference across R3 five seconds after S2
The circuit components have values C1 = 5μF, C2 = 10μF, R1 = 2 Ω, R2 = 4 Ω, and R3 = 1Ω. Initially the battery is disconnected from the circuit.
1. The battery is connected to the circuit at t = 0 with both switches S1 and S2 initially open. What is the time constant of this RC circuit? What magnitude of the charge is on C1 five seconds after the battery is connected?
2. If S1 is, instead, initially closed when the battery is connected, discuss the qualitative behavior of the current flowing through R2 as a function of time (i) after a short time has passed since the battery was connected, and (ii) after a long time has passed since the battery was connected. (iii) How much energy is stored in C1 after a long time has passed?
3. Now consider the case where both switches are initially open and we connect the battery for a long time. We then disconnect the battery and then flip S2 closed. Find the current flowing through R3 as a function of time. What is the potential difference across R3 five seconds after S2 is closed?
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