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The coupling magnetic eld performs a dual role, which may be explained as follows When a current i ows through conductors placed in a magnetic eld, a force is produced on each conductor, according to equation 171 If these conductors are attached to a cylindrical structure, a torque is generated, and if the structure is free to rotate, then it will rotate at an angular velocity m As the conductors rotate, however, they move through a magnetic eld and cut through ux lines, thus generating an electromotive force in opposition to the excitation This emf is also called counter emf, as it opposes the source of the current i If, on the other hand, the rotating element of the machine is driven by a prime mover (for example, an internal combustion engine), then an emf is generated across the coil that is rotating in the magnetic eld (the armature) If a load is connected to the armature, a current i will ow to the load, and this current ow will in turn cause a reaction torque on the armature that opposes the torque imposed by the prime mover You see, then, that for energy conversion to take place, two elements are required: 1 A coupling eld, B, usually generated in the eld winding 2 An armature winding that supports the load current, i, and the emf, e Magnetic Poles in Electric Machines Before discussing the actual construction of a rotating machine, we should spend a few paragraphs to illustrate the signi cance of magnetic poles in an electric

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machine In an electric machine, torque is developed as a consequence of magnetic forces of attraction and repulsion between magnetic poles on the stator and on the rotor; these poles produce a torque that accelerates the rotor and a reaction torque on the stator Naturally, we would like a construction such that the torque generated as a consequence of the magnetic forces is continuous and in a constant direction This can be accomplished if the number of rotor poles is equal to the number of stator poles It is also important to observe that the number of poles must be even, since there have to be equal numbers of north and south poles The motion and associated electromagnetic torque of an electric machine are the result of two magnetic elds that are trying to align with each other so that the south pole of one eld attracts the north pole of the other Figure 177 illustrates this action by analogy with two permanent magnets, one of which is allowed to rotate about its center of mass

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Figure 178 depicts a two-pole machine in which the stator poles are constructed in such a way as to project closer to the rotor than to the stator structure This type of construction is rather common, and poles constructed in this fashion are called salient poles Note that the rotor could also be constructed to have salient poles To understand magnetic polarity, we need to consider the direction of the magnetic eld in a coil carrying current Figure 179 shows how the right-hand rule can be employed to determine the direction of the magnetic ux If one were to grasp the coil with the right hand, with the ngers curling in the direction of current ow, then the thumb would be pointing in the direction of the magnetic ux Magnetic ux is by convention viewed as entering the south pole and exiting from the north pole Thus, to determine whether a magnetic pole is north or south, we must consider the direction of the ux Figure 1710 shows a cross section of a coil wound around a pair of salient rotor poles In this case, one can readily identify the direction of the magnetic ux and therefore the magnetic polarity of the poles by applying the right-hand rule, as illustrated in the gure Often, however, the coil windings are not arranged as simply as in the case of salient poles In many machines, the windings are embedded in slots cut into the stator or rotor, so that the situation is similar to that of the stator depicted in

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