A six$-$pole DC generator has a flux per pole of $0\mathrm{.}030$ Wb $.$ The armature winding is lap$-$wound and has $67$ coils, each having $4$ turns. The DC machine runs at $1050$ revolutions per minute $($rpm$),$ and it delivers a rated armature current of $225$ A to a load connected to its terminals.

Calculate the generated voltage, $E_A.$

$281\mathrm{.}4$ Volt

$227\mathrm{.}9$ Volt

$331\mathrm{.}67$ Volt

$160\mathrm{.}8$ Volt