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The example, worked out
Given
Primary voltage
230 V
Primary turns
1000
Secondary given by
Its turns
Secondary turns
52
Secondary current
2 A
Working
volts follow the turns
amps go the other way: the power is the same on both sides
Results
Turns ratio Np : Ns19.23 : 1
Secondary voltage12 V
Secondary turns52
Primary current104 mA
Power23.9 W
Volts per turn230 mV
The formulas
Vs / Vp = Ns / Npvolts follow the turns
Ip = Is × Ns / Npamps go the other way
Zp = (Np / Ns)² × Zsan impedance is reflected by the ratio squared
The usual traps
Turns come whole: the voltage lands near, not on, what you asked.
A real transformer also draws a magnetizing current and drops a few percent under load.
Questions
How do I calculate a transformer's turns ratio?
Vs / Vp = Ns / Np: volts follow the turns. Ip = Is × Ns / Np: amps go the other way. Zp = (Np / Ns)² × Zs: an impedance is reflected by the ratio squared.
What does it give for typical values?
19.2 : 1, 230 V → 12 V at 2 A. Turns ratio Np : Ns: 19.23 : 1; Secondary voltage: 12 V.
What are the usual mistakes?
Turns come whole: the voltage lands near, not on, what you asked. A real transformer also draws a magnetizing current and drops a few percent under load.
In the app
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The part you can buy
Results rounded to standard values (E12, E24, E96) and power ratings.
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Open the calculatorOpens in the app on 1 December, with Circuit Notebook 1.0