A $50$ kW $,500$ V long shunt compound generator generates $500$ V at $1000$ rpm on no$-$load. The combined resistance of the armature and the series field is $0\mathrm{.}20,$ the series field resstance being $0\mathrm{.}05.$ The brush drop is $2$ V $.$ At full load speed falls by $5\%.$ The number of series turns per pole is $15.$ The number of shunt field turns per pole is $2000.$ Determine the terminal voltage at full load current of $100$ A $.$ What should be the resistance of the diverter to maintain the terminal voltage at $500$ V on full$-$load. Ignore armature reaction. The open circuit characteristic at $1000$ rpm is as follows

$[$I$.$ A$,1,1\mathrm{.}5,2,2\mathrm{.}5,3,3\mathrm{.}5,4],$

$[$E$.$ V$,280,375,445,500,544,574,600]]$