Figure $1.$ Voltage$-$to$-$Current Converter Q$1.$ Consider the voltage to current converter circuit in Fig. $1.$

a$)$ Find the output impedance of this VCCS using Thevenin$$s theorem.

b$)$ Derive the equation for the load current I.

c$)$ Draw the Norton equivalent circuit of this current source.

d$)$ Determine R to pass $0\mathrm{.}1$V$1($t$)$ mA through the load resistor RL$.$

e$)$ Simulate this circuit in PSpice with the R value you have found in part d$).$ Change the load resistance $($RL$=100,10$k$,100$k$),$ and observe the current through the load. Comment on the result. Provide the circuit schematic and simulation output.

$($V$1=1$Vdc$,+$Vcc$=12$V$,-$Vcc$=-12$V & Use the op amp uA$741/$EVAL$)$

f$)$ Discuss the disadvantages of the voltage to current converter circuit in Fig. $1.$

g$)$ Discuss the steps of PCB $($Printed Circuit Board$)$ design and manufacturing process, and provide your PCB layout for this circuit.