$1.$ In the amplifier circuit above, let's consider the AC source labeled V $3$ to be an object with very low output impedance and let the frequency be fixed at $100$ kHz $.$ The load resistor RL will represent the input impedance of some other circuit that is going to receive the output of this amplifier.

a$.(5$ pts$)$ Using LTspice to do the measurements, make a plot of the current $($amplitude$)$ drawn from V$3$ as a function of the voltage amplitude of V$3.$ From your plot, calculate the effective input impedance of this amplifier for low signal levels and a frequency of $100$ kHz $.$

b$.(5$ pts$)$ At a fixed amplitude for V$3,$ vary RL and make a plot of Vout as a function of RL$.$ If the output impedance $($Zout$)$ of this amplifier circuit were zero, then Vout would not vary as RL is varied. However, if the output impedance is not zero, then a voltage divider is formed with Zout and RL in series and Vout is the voltage across RL$.$ When RL$=$Zout, Vout should be half of what it is when RL $>>$ Zout. Based on your data, what is the output impedance of this amplifier at $100$ kHz $?$

c$.(3$ pts$)$ Given your values of Zin and Zout for this amplifier, would you say that it is a pretty good instrument or not? Why?