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. a) What is the status of the capacitor after this long time — charged or discharged? b) Calculate the time constant of the capacitor. Your answer must include a number and its corresponding unit. c) Calculate the time constant after the switch is closed
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.
a) What is the status of the capacitor after this long time — charged or discharged?
b) Calculate the time constant of the capacitor. Your answer must include a number and its corresponding unit.
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.
(part a,b,c,d have been answered, please answer part e and f)
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