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Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.3P: Consider an ideal transformer with N1=3000andN2=1000 turns. Let winding 1 be connected to a source...

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The two coils A and B wound coaxially on an insulating cylinder. It will be evident that the ﬂuxes produced by a current i through the two coils are in the same direction, and the coils are said to be cumulatively coupled. If the direction of the current in B relative to that in A is reverse, then coils are said to be differential coupling. Suppose A and B to have self-inductances and henrys respectively and a mutual inductance M henrys. If two coils are connected in series, their effective inductance is found to be 12.0H. However, when the connections to one coil are reversed, the effective inductance is 8.0 H. If the coefﬁcient of coupling is 0.6.

a) Show that the total inductance of inductively coupled circuits is + ± 2M

b) Calculate the self-inductance of each coil and the mutual inductance.

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