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Q#1 DC Machines GATE EE 2023 MCQ +1 mark -0.33 marks

The four stator conductors  and  of a rotating machine are carrying  currents of the same value, the directions of which are shown in the figure (i). The rotor coils  -  ' and  -  ' are formed by connecting the back ends of conductors '  ' and '  ' and '  ' and '  ', respectively, as shown in figure (ii). The e.m.f. induced in coil  -  ' and coil  -  are denoted by  and , respectively. If the rotor is rotated at uniform angular speed  in the clockwise direction then which of the following correctly describes the  and  ?

fig. (i) cross-section view fig. (ii) rotor winding connection diagram

 and  have finite magnitudes and are in the same phase.

 and , have finite magnitudes with  leading

 and  have finite magnitudes with  leading

Explanation:

Magnetic field produced by stator is shown below

The poles formed on stator based on direction of magnetic field are also shown.

Number of poles = 4

If θe = 90°, θm = 45°

Geometry Neutral Axis (GNA) lies at 90° electrical to pole axis ie. at 45° mechanical to poles axis. GNA is shown in figure below.

Since the coils a-a’ & b-b’ lie along GNA, emf induced in each of them is 0.

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