D.C Motor Rheostat

If the position of rheostat is changed from minimum position to maximum position in D.C shunt motors speed is increased, how?

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In D.C shunt machine by inserting the rheostat in the field we can increase the speed above the base speed in the ratio 3:1 but above that machine get overheated. When we increase the resistance field current get reduced due to that flux get reduced cause current is directly proportion to the flux and flux is inversly proportional to the speed so as flux reduced speed increased.

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