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Class 4 (4th Engineer) MET 📅 Aug 2023

Exam Question

(a) Describe the means by which the magnetic flux associated with a conductor may be changed. (6)

(b) Find the generated e.m.f./conductor of a 6-pole D.C. generator having a magnetic flux/pole of 64m Wb and a speed of 1000 rev/min. If there are 468 conductors, connected in six parallel circuits, calculate the total generated e.m.f. of the machine. Find also the total power developed by the armature when the current in each conductor is 50A. (10)

Reference Answer

### (a) Means of Changing Magnetic Flux Associated with a Conductor
Based on Faraday's Law of Electromagnetic Induction, an electromotive force (e.m.f.) is induced in a conductor whenever the magnetic flux linking it changes. The magnitude of this induced e.m.f. is directly proportional to the rate of change of flux linkage ($$ \mathcal{E} = -N \frac{d\Phi_B}{dt} $$). The magnetic flux ($$\Phi_B$$) itself is the product of the magnetic field strength ($$B$$) and the area ($$A$$) perpendicular to the field. Thus, the flux linkage can be changed by altering any of the variables in this relationship. The primary methods are:
1. **Relative Motion between the Conductor and the Magnetic Field:**
* This is the most common method used in electrical generators and motors. By physically moving the conductor through a stationary magnetic field, or moving the magnetic field relative to a stationary conductor, the amount of magnetic flux 'cut' by the conductor changes with time.

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