The transformer described in the book (consisting of coils on opposite sides of a toroidal core) is modified as follows: A slot is cut through the core on the secondary side, and the secondary coil is rewound through the slot. As a result, the secondary coil remains oriented in the same direction relative to the magnetic flux, but has exactly one-half the cross-sectional area as it did previously (i.e., is now one-half the cross-sectional area of the primary coil). The overall cross-sectional dimensions of the core remains nearly the same on both sides, so the flux density in the core is not significantly affected. The number of turns in the primary and secondary coils are 200 and 300, respectively. What is the potential V₂ on the secondary side in terms of the potential V₁ on the primary side?

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 transformer described in the book (consisting of coils on opposite sides of a
toroidal core) is modified as follows: A slot is cut through the core on the secondary side,
and the secondary coil is rewound through the slot. As a result, the secondary coil remains
oriented in the same direction relative to the magnetic flux, but has exactly one-half the
cross-sectional area as it did previously (i.e., is now one-half the cross-sectional area of the
primary coil). The overall cross-sectional dimensions of the core remains nearly the same on
both sides, so the flux density in the core is not significantly affected. The number of turns
in the primary and secondary coils are 200 and 300, respectively. What is the potential V₂
on the secondary side in terms of the potential V₁ on the primary side?
Transcribed Image Text:The transformer described in the book (consisting of coils on opposite sides of a toroidal core) is modified as follows: A slot is cut through the core on the secondary side, and the secondary coil is rewound through the slot. As a result, the secondary coil remains oriented in the same direction relative to the magnetic flux, but has exactly one-half the cross-sectional area as it did previously (i.e., is now one-half the cross-sectional area of the primary coil). The overall cross-sectional dimensions of the core remains nearly the same on both sides, so the flux density in the core is not significantly affected. The number of turns in the primary and secondary coils are 200 and 300, respectively. What is the potential V₂ on the secondary side in terms of the potential V₁ on the primary side?
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