Problem $9.$ Given the evetem helow

a$.$ Solve for the current, $\backslash (\backslash$mathbf$\{$I$\}\_\{\backslash$mathbf$\{$L$\}\}\backslash ),$ in polar form.

b$.$ Solve for the voltage, $\backslash (\backslash$mathbf$\{$V$\}\_\{2\}\backslash )$ in polar form.

c$.$ If a load is added between terminals a and $\backslash ($ b $\backslash ),$ determine the impedance of this load required to adjust the total load $($inside the dotted box$)$ power factor to $1.$