What formula does this calculator use?

It uses the ideal transformer formula: a = N1/N2 = V1/V2 = I2/I1, where 'a' is the turns ratio.

Can I calculate secondary current if I only know the turns and primary current?

Yes. Select the Turns mode, enter N1 and N2, and input your primary current (I1) to calculate the secondary current (I2).

How is the power conservation check performed?

The calculator multiplies primary voltage by primary current (V1 * I1) and secondary voltage by secondary current (V2 * I2) to verify that input power equals output power.

Does this calculator account for winding resistance or core losses?

No, this tool calculates parameters for an ideal transformer, assuming zero losses and 100% efficiency.

What happens if I select Voltage mode?

The calculator determines the turns ratio directly from V1 and V2, and then uses that ratio to scale any provided current values.

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Transformer Turns Ratio Calculator

Ideal transformer ratio: a = N₁/N₂ = V₁/V₂ = I₂/I₁. Given turns, voltage, or current on either side, compute a and the corresponding voltage/current on the other side; verifies V₁·I₁ = V₂·I₂.

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2 examples

N₁=1000, N₂=250 (a=4), V₁=230 V → V₂=57.5 V, I₂=10 A → I₁=2.5 A

a = N₁/N₂ = 4. V₂ = V₁/a = 230/4 = 57.5 V. I₁ = I₂/a = 10/4 = 2.5 A. Power check: V₁I₁ = 575 W, V₂I₂ = 575 W ✓.

{"result":"Transformer (ideal), mode=turns. N₁=1000, N₂=250. Turns ratio a = N₁/N₂ = 4. From V₁=230 V → V₂ = V₁/a = 57.5 V. From I₂=10 A → I₁ = I₂/a = 2.5 A. Power check: V₁·I₁ = 575 W, V₂·I₂ = 575 W ✓.","metadata":{"input":{"mode":"turns","N1":1000,"N2":250,"V1":230,"I2":10},"result":{"turnsRatio":4,"V1":230,"V2":57.5,"I1":2.5,"I2":10,"primaryPower_W":575,"secondaryPower_W":575}}}

Voltage mode: V₁=400 V, V₂=230 V → a=1.7391; I₁=20 A → I₂=34.78 A

a = V₁/V₂ = 400/230 ≈ 1.7391 (step-down). I₂ = a·I₁ = 1.7391·20 ≈ 34.7826 A. Power check: V₁I₁ = 8000 W, V₂I₂ = 8000 W ✓.

{"result":"Transformer (ideal), mode=voltage. V₁=400 V, V₂=230 V. Turns ratio a = V₁/V₂ = 1.7391 (step-down). From I₁=20 A → I₂ = a·I₁ = 34.7826 A. Power check: V₁·I₁ = 8000 W, V₂·I₂ = 8000 W ✓.","metadata":{"input":{"mode":"voltage","V1":400,"V2":230,"I1":20},"result":{"turnsRatio":1.7391,"V1":400,"V2":230,"I1":20,"I2":34.7826,"primaryPower_W":8000,"secondaryPower_W":8000}}}

Inputs

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8 options

SettingsAdjust formats, ranges, numbers, and modes.8

Solve FromselectOptionalPrimary Turns N₁numberOptionalRequired for Turns mode.Secondary Turns N₂numberOptionalRequired for Turns mode.Primary Voltage V₁ (V)numberOptionalRequired for Voltage mode; optional anchor in other modes.Secondary Voltage V₂ (V)numberOptionalRequired for Voltage mode; optional anchor in other modes.Primary Current I₁ (A)numberOptionalRequired for Current mode; optional anchor in other modes.Secondary Current I₂ (A)numberOptionalRequired for Current mode; optional anchor in other modes.Decimal PlacesnumberOptional

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Transformer Turns Ratio Calculator

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Examples

1. Step-Down Transformer Verification

2. Voltage-Based Ratio and Current Scaling

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