1. For the RC circuit of figure 1 of the lab:
(a) What is the theoretical time constant t ("tau") for the circuit?
(b) Sketch one period of the output waveform on top of the input square wave with period T shown, where:
i) T = 10t
ii) T = t
iii) T = 0.1t
(c) Calculate the relationship between the 10% to 90% rise time (as shown below) and the time constant t for the circuit's step response. Hint: you'll need to solve for the step response of the circuit.