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In a DC shunt motor, speed is related to armature current as _____________

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In a DC shunt motor, speed is related to armature current as _____________

(a) Directly proportional to the armature current

(b) Proportional to the square of the current

(c) Independent of armature current

(d) Inversely proportional to the armature current

I got this question in an online interview.

My question is taken from Operating Characteristics of DC Shunt Motor -1 topic in portion Characteristics of DC Motors of DC Machines

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Right option is (d) Inversely proportional to the armature current

Easiest explanation: When armature reaction is ignored in a DC shunt motor, flux almost remains constant but the speed of the motor decreases according to the increase armature current, increasing Ia*Ra drop. Hence, inverse proportionality.

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