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Electricity & Magnetism
Electricity & Magnetism

Transformer Equation

VsVp=NsNp\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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