Transformer turns ratio calculator

Enter your values. The answer and the full worked solution update as you type.

Result

Secondary voltage11.5 V

Turns ratio20

Secondary current43.48 A

Primary current2.174 A

Step-by-step solution

Ideal transformer

a = N₁/N₂ = 20

V₂ = V₁/a = 11.5 V

Currents (power in = power out)

I₂ = S/V₂ = 43.48 A

I₁ = S/V₁ = 2.174 A

Key formulas

Turns ratio: a = N₁/N₂ = V₁/V₂
Current ratio: I₁/I₂ = N₂/N₁ = 1/a
Rated current: I = S/V
Referred impedance: Z₁′ = a²·Z_L
Copper loss at part load: P_cu = x²·P_cu,fl
Efficiency: η = x·S·pf/(x·S·pf + P_core + x²·P_cu,fl)
Maximum efficiency: x = √(P_core/P_cu,fl)

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