Electricity & Magnetism

Transformer Equation

\frac{V _{s}}{V _{p}} = \frac{N _{s}}{N _{p}}

Voltage ratio in ideal transformer equals turns ratio.

Variables

V_s

Secondary voltage

Output voltage

V

V_p

Primary voltage

Input voltage

V

N_s

Secondary turns

Number of secondary turns

unitless

N_p

Primary turns

Number of primary turns

unitless

Derivation

From Faraday's law applied to both coils with same magnetic flux.

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