1) Figure 1 shows a circuit, with C = 1 µF, R1 = 1 Ω, R2 = 2 Ω and ε = 100 V. Suppose the switch S has been open for a very long time.Now suppose that the switch S is suddenly closed. c) Calculate the time constant after the switch is closed. d) Write an expression for charge as a function of time, after closing S. e) Use the expression in part d and calculate the amount of charge after t = 2 τ , where τ is the time constant. Your final answer must include a number and its corresponding unit. f) Calculate the current in the circuit after closing S. Hint: this should include the current through the left circuit plus the current through the right circuit.

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