For the RC circuit of figure 1 in Lab 3:

1. What is the theoretical time constant &tau ("tau") for the circuit?
   
   
   
   
   
   
   
   
   
   
   
   
2. Sketch one period of the output waveform on top of the input square wave with period T shown, where
   • T = 10 &tau
     
     
     
     
     
     
     
     
     
     
     
     
   • T = 1 &tau
     
     
     
     
     
     
     
     
     
     
     
     
   • T = &tau / 10
     
     
     
     
     
     
     
     
     
     
     
     
3. Calculate the relationship between the 10% to 90% rise time (as shown in the figure below), and the time constant &tau for the circuit's step response. Hint: you'll need to solve for the step response of the circuit.