Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 6, Problem 6.33P

The functions V1 (p, ∅, z) and V2(p, ∅, z) both satisfy Laplace' s equation in the region a < p < b,0 < ∅ < -z,L < z < L; each is zero on the surfaces p = b for—L < Z, z = -L and a < p < b and z=L for a < p < b: and each is 100 V on the surface p=a for - L < z < L. (a) In the region specified; is L aplace' & equation sati s field by the functions V1\ - V2>, V\ - f 7: = V\ + 3 r and V\ V2 ? (b) On the boundary surface s specified; are the potential values given in this problem obtained from the functions V\ + V2: V3, - Vi._ V\ + 3. and V\ V2 ? (c) Are the functions V_ - Vi: Y\ — V2, V\ - 3, and V\ Vj identical with V?

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A3 φ, 10 kVA, 220 V, four-pole, 60 Hz, star-connected synchronous machine has negligible stator winding resistance and a synchronous reactance of 6 ohms per phase at rated terminal voltage. The machine is first operated as a generator in parallel with a 3φ, 220 V, 60 Hz power supply. (a) Determine the excitation voltage and the power angle when the machine is delivering rated kVA at 0.8 PF lagging. (b) If the field excitation current is now increased by 20 percent (without changing the prime mover power), find the stator current, power factor, and reactive kVA supplied by the machine.
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