Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Concept explainers

Single Phase Transformer
A single-phase transformer is a type of power transformer. It is an electrical device that accepts converts the single phase alternating power into single phase alternating power. In this power conversion the voltage is stepped up or down. If the voltage…
Question

Derive the mutual-inductance of 2-winding IT in terms of the physical parameters of the transformer.

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Expert Solution
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Step 1

To derive the mutual-inductance of 2 winding inductive turn in terms of the physical parameter of the transformer. Let L1 and L2 is the self-inductance of the primary and secondary winding.

Mutual inductance is defines the flux of the coil 2 linking with coil 1, λ12. To the current flowing in coil 2.

Electrical Engineering homework question answer, step 1, image 1

Flux linkage of the coil from the 2 to the coil 1. Hence,

Electrical Engineering homework question answer, step 1, image 2

 

Step 2

Similarly, mutual inductance of coil 1 to the coil 2,

Electrical Engineering homework question answer, step 2, image 1

Now assume that all flux produced by each coil links with the other coil. The implication of this is that there is no leakage flux.

The flux from coil 2 linking with coil 1 is equal to the flux from coil 2 linking with coil 2.

Electrical Engineering homework question answer, step 2, image 2

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