GATE EE 2023 Set 1 — Question 22
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Electrical Machines → Electromechanical Energy Conversion → Energy Conversion Principles
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Question
The four stator conductors (, , and ) of a rotating machine are carrying DC 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 rad/s in the clockwise direction then which of the following correctly describes the and ?
Correct answer
(D) E_(a-a') = E_(b-b') = 0
Solution
The stator conductors carry DC currents. From figure (i), and have 'cross' (current into the page) and and have 'dot' (current out of the page). This arrangement creates a stationary magnetic field. However, the specific placement of these conductors (A at top, B at bottom, A' at right, B' at left) with these current directions results in a magnetic field distribution where the net flux linkage in the rotor coils and is zero, or the flux density at the rotor surface is zero everywhere due to symmetry. Thus, no EMF is induced as the rotor rotates. Therefore, .
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