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⚡ Transformers

Transformer Turns Ratio Calculator

Enter primary and secondary voltage to get the turns ratio (Np/Ns), whether it steps up or down, and the secondary current for an ideal transformer.

Turns ratio Np:Ns
Step-up / step-down
Secondary current
Vp/Vs = Is/Ip
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Turns ratio — Quick answer

Turns ratio equals the voltage ratio and the inverse of the current ratio.

n = Np/Ns = Vp/Vs = Is/Ip

Worked example: 240 V → 12 V gives 20:1 step-down.

Examples

Vp → VsRatioType
240 → 1220:1step-down
120 → 2401:2step-up
480 → 1204:1step-down

Ideal transformer: power in = power out, so current inverts.

⚡ Transformer Turns Ratio Calculator

Enter the voltages (and optionally the primary current).

Turns ratio (Np:Ns)
Ratio n (Vp/Vs)
Type
Secondary current Is

ℹ️ Ideal transformer: Np/Ns = Vp/Vs = Is/Ip. Is = Ip × Vp/Vs. Real units have small losses.

A transformer's turns ratio sets how it changes voltage: n = Np/Ns = Vp/Vs. Because power is conserved in an ideal transformer, current changes the opposite way, so Is/Ip = Vp/Vs too. This calculator gives the ratio, the step-up/down type, and the secondary current.

Reviewed: June 20, 2026 · Author: Naveen P N, Founder — AI Calculator · Verified against: ideal-transformer relations, recomputed in code.

The relationships

Ideal transformer
n = Np/Ns = Vp/Vs = Is/Ip  ·  Vp·Ip = Vs·Is (power conserved)

If the primary voltage is higher, the transformer steps voltage down (n > 1) and steps current up; if the secondary is higher, it steps up (n < 1) and current down. The turns ratio equals the voltage ratio exactly in the ideal case. Reducing the ratio to whole numbers gives the familiar form like 20:1 or 1:2.

Worked examples

240 V → 12 V:

20:1 step-down
n = 240 ÷ 12 = 20 → 20 primary turns per 1 secondary turn

120 V → 240 V:

1:2 step-up
n = 120 ÷ 240 = 0.5 → secondary has twice the turns

480 V → 120 V at 10 A primary:

4:1 · Is = 40 A
n = 4 · Is = 10 × 4 = 40 A (current steps up as voltage steps down)

Power checks out: 480 V × 10 A = 4,800 VA on the primary, and 120 V × 40 A = 4,800 VA on the secondary. In a real transformer, small losses make the secondary figures a few percent lower under load.

Frequently Asked Questions

What is the turns ratio formula?

n = Np/Ns = Vp/Vs = Is/Ip. 240 V → 12 V = 20:1.

How do I find the secondary current?

Is = Ip × Vp/Vs. 480 V → 120 V, 10 A → 40 A.

Step-up vs step-down?

Step-down: Vp > Vs (n > 1). Step-up: Vs > Vp (n < 1).

Turns ratio = voltage ratio?

Yes, ideally — Np/Ns = Vp/Vs. Real units differ slightly.

Is it an ideal transformer?

Yes — 100% efficient. Real secondary values run a few % lower under load.

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