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D.C. Generator
A magnetic field is produced by afield coil supplied with a D.C. current and a rotor is placed between shaped pole pieces and wound with an armature winding. The diagram above shows only one turn of the armature winding, but in practice there will usually be more than one. The ends of the armature winding are connected to two slip rings that rotate with the armature and the voltage generated is 'picked off' the rings by brushes that bear against the slip rings
The emf generated may be calculated either using the equation for the emf induced in a conductor of length l moving
in an electric field of flux density B webers/m 2
e=B.l.v
with a velocity v m/sec or by considering the rate of change of flux linkage with the armature coil. We shall use the latter method. Due to the shaping of the pole pieces, the flux threading through a particular armature coil is constant at + max as it turns from O4 to O1 and decreases linearly from +Ømax to -Ømin while the rotor is turning from O1 to O2 . It is constant again during O2 to O3 and then increases linearly during O3to O4. (ref graph)
a) Define the blending function reparanetrization. b) Four position vectors P1[0 , 0], P2[1 ,1], P3[2 ,-1] ,P4[3, 0] are provided with tangent vectors P1'[1,1] and P4'[1,1]. Cal
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