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Step response numero deux

The questions below are due on Wednesday April 01, 2020; 11:59:00 PM.
 
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For the two circuits shown in the figure below, v_{IN}(t) = 10 V\cdot u(t), a 10-V step starting at time t = 0. u(t) refers to the unit step function, a function that is zero for t<0 and 1 for t>0. What it defined as at t=0 is of no interest to us... choose whatever convention you like. By this definition, the circuits start at rest.

In the answers below, use exp() for e^{()} exponential, i.e., exp(5) for e^5.

Enter the value for the time constant \tau [in seconds] for the circuit in (a).

Enter an expression for v_{OUT}(t) for t > 0 for the circuit in (a).

v_{OUT}(t)=

Enter the value for the time constant \tau [in seconds] for the circuit in (b).

Enter an expression for v_{OUT}(t) for t > 0 for the circuit in (b).

v_{OUT}(t)=