PLease solve in detail. Problem #$4(25$ pts$)-$ In the circuit below, it is desired to choose the unknown resistor R at the left such

that I$\_($R$1)=4$mA$.$ The NMOS have K$\_($n$)^(\text{'})=0\mathrm{.}2$m$($A$)/($V$^(2)),$V$\_($tn$)=2$V; the PMOS have K$\_($p$)^(\text{'})=0\mathrm{.}1$m$($A$)/($V$^(2)),$V$\_($tp$)=-$

$3$V$.$ The width W$\_($M$1)=10\backslash$mu m$,$W$\_($M$2)=20\backslash$mu m$,$W$\_($M$3)=15\backslash$mu m$,$W$\_($M$4)=10\backslash$mu m$.$ The length L$=1\backslash$mu m in all

cases.

Find the drain currents I$\_($D$1),$I$\_($D$2),$I$\_($D$3),$ and I$\_($D$4),$ and the required resistor value R$.$