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Transformer Isolation and Coupling

Utilizing magnetic coupling (transformers) to provide galvanic isolation and voltage scaling. The relationship between primary (

V_{pri}

) and secondary (

V_{sec}

) voltages is

V_{sec} = \frac{N_{sec}}{N_{pri}} V_{pri}

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The statement of the theorem

For a transformer with primary and secondary windings, the relationship between the voltages

V_{pri}

and

V_{sec}

is governed by the turns ratio

N_{sec}/N_{pri}

and the mutual flux linkage

\Phi

. The voltage transformation is given by:\n

V_{sec} = \frac{N_{sec}}{N_{pri}} V_{pri}

\nFurthermore, the average power transfer

P_{out}

is related to the primary power

P_{pri}

P_{out} = \frac{N_{sec}^2}{N_{pri}^2} P_{pri} \text{ (assuming ideal coupling)}