Transformer Turns Ratio Calculator
Voltage to Turns Ratio
Np/Ns = Vp/Vs
Calculate Secondary Voltage
Vs = Vp × (Ns / Np)
Impedance Matching
Calculate turns ratio for impedance matching: n = √(Zp/Zs)
Formula
Vp/Vs = Np/Ns = Is/Ip | Vs = Vp × (Ns/Np) | Zp = n² × Zs | n = √(Zp/Zs) | Power: Pp = Ps (ideal)
Frequently Asked Questions
What is a transformer turns ratio?
The turns ratio is the ratio of the number of turns in the primary winding to the secondary winding (Np/Ns). It determines the voltage transformation: Vs = Vp × (Ns/Np). A turns ratio greater than 1 is step-down; less than 1 is step-up.
How does a transformer work?
A transformer transfers electrical energy between circuits through electromagnetic induction. AC current in the primary winding creates a changing magnetic field in the core, which induces a voltage in the secondary winding. The voltage ratio equals the turns ratio.
What is impedance matching with transformers?
A transformer can match impedances between source and load for maximum power transfer. The impedance transformation follows: Zp = n² × Zs, where n is the turns ratio. For example, to match a 600Ω source to an 8Ω speaker, you need a turns ratio of √(600/8) ≈ 8.66:1.
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