b$)$ For the circuit shown in Figure B$1$a$,$ determine the output voltage, $v_{\text{o}\text{u}\text{t}},$ if the input voltage, $v_{in}=4V_{.}$

$(4)$

c$)$ Figure B$1$c shows another amplifier circuit.

$($i$)$ Determine the d$.$c$.$ gain of the circuit

$(2)$

$($ii$)$ Determine the a$.$c$.$ gain of the circuit

$(2)$

d$)$ Comparing the amplifiers shown in figures B$1$a and B$1$c$,$ discuss the advantages and disadvantages of the two designs.

$(3)$

CONTINUED OVERLEAF can u do b and explain why Vout is $2$V using nodal analysis and showing it on paper