Consider the following diode circuit:

a$)$ Determine the edge$-$of$-$conduction $($EOC$)$ input voltage that corresponds to zero current flowing through the circuit

b$)$ Given the input square waveform shown below, determine the output voltage $v_o$ when $v_i{v}_i(EOC)$

c$)$ Repeat part $($b$)$ for $v_i{v}_i($EOC$)$

d$)$ Draw $v_0$ as a function of time directly below the input waveform