Q$2.(25$ pts$)$ A DC machine has $8$ poles and a duplex lap wound armature having a total of $240$ coils. Bach coil has $10$ turns and each furm has a resistanee of $0\mathrm{.}008$ obm. The flux per pole in this machine is $0\mathrm{.}0125$ Wb $.$ The rotor rotates $4$ times in one second. Answer the

e$)$ Calculate the output power of the machine if a $10-$ohm resistor is connected at armature terminals,

d$)$ Calculate the induced torque developed by the machine for the condition in part e$),$