Switching Sides
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Consider the RC network shown below:
The voltage V_1 and the current I_1 are constant for all time. Prior to t=t_0, the circuit is in equilibrium with the switch closed. At time t=t_0, the switch is opened for a while, and it is then closed at a later time t_1. Something like the waveform below is observed for v_C(t) (though this is intentionally not drawn to scale):
What are the values of the time constants \tau_1 and \tau_2, and what is the final value to which v_c(t) converges? Enter your answers as simple fractions or exact decimal numbers.
\tau_1 (in milliseconds) = ~
\tau_2 (in milliseconds) = ~
Final value (in Volts) = ~