A DC series motor has an armature resistance of 0.06 Ω and series field resistance of 0.08 Ω. The motor is connected to a 400 V supply. The line current is 20 A when the speed of the machine is 1100 rpm. When the line current is 50 A and the excitation is increased to 30%.
i) write the relation between magnetic fluxes in both cases.
ii) Find the speed of the machine in rpm when the line current is 50 A.