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For a long-shunt compound motoring, which of the following equation is correct?

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For a long-shunt compound motoring, which of the following equation is correct?

(a) Vt= Ea+ Ia(Ra+ Rse)

(b) Vt= Ea– Ia(Ra+ Rse)

(c) Vt= Ea+ Ia(Ra– Rse)

(d) Vt= -Ea+ Ia(Ra+ Rse)

I have been asked this question in semester exam.

This question is from Methods of Excitation topic in chapter Commutation Process & Excitation Methods of DC Machines

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The correct choice is (a) Vt= Ea+ Ia(Ra+ Rse)

The explanation: For a long shunt compound motor Rse is connected in series with armature, while in short shunt compound motors Rse is connected in series with terminal voltage. IL is supplied through the terminals which split into If and Ia.

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