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What is the formula for calculating the turns ratio of a transformer?

1 Answer

The turns ratio of a transformer is a fundamental parameter that relates the number of turns of wire in the primary coil (winding) to the number of turns in the secondary coil (winding). It determines how voltage and current are transformed between the primary and secondary sides of the transformer.

The formula for calculating the turns ratio (N) of a transformer is:

N = (Number of Turns in Secondary Coil) / (Number of Turns in Primary Coil)

Mathematically, this can be represented as:

N = Ns / Np

Where:

N is the turns ratio.
Ns is the number of turns in the secondary coil.
Np is the number of turns in the primary coil.

Keep in mind that the turns ratio also directly affects the voltage ratio and current ratio of the transformer. The voltage ratio (V) is the same as the turns ratio, while the current ratio (I) is the inverse of the turns ratio:

V = N
I = 1 / N

These relationships are fundamental to understanding how transformers work and how they transform voltage and current levels between different parts of an electrical system.
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