$7\mathrm{.}12$ For a single$-$phase inverter with the unipolar PWM switching pattern at $10$ kHz and a fundamental frequency of $60$ Hz $,$ design an LCL filter if the voltage across the filter must be less than $\backslash (5\backslash \%\backslash )$ when the inverter feeds the resistive load of $\backslash (100\backslash$Omega $\backslash )$ from a $\backslash (600-\backslash$mathrm$\{$V$\}\backslash )$ DC source, modulation index is $\backslash ($ m$=0\mathrm{.}8\backslash ),$ and maximum suitable $\backslash ($ f$\_\{$r$\}\backslash )$ is selected to filter out the harmonics. Also, calculate the maximum filter inductance if the voltage drop must stay within $\backslash (4\backslash \%\backslash ).$