A single$-$phase transistorized bridge inverter operating under square wave mode is connected to a resistive load with a resistance of $3$ ohms, and the rated load voltage is $200$ V $.$ Find the following if the peak value of the output voltage is $V_{nl,\text{p}\text{r}\text{a}\text{i}}=\frac{4V_d}{}.$

$($a$)$ The value of the input battery voltage $(V_{dc})$ of the inverter.

$($b$)$ Peak and the average transistor current

$($c$)\%$ THD of the inverter output voltage

$($d$)$ Harmonic factor and distortion factor at the Lowest order harmonic