What is a transformer turns ratio and how is it calculated?
1 Answer
The Transformer Turns Ratio (TTR) refers to the ratio of the number of turns in the primary winding of a transformer to the number of turns in its secondary winding. In other words, it represents how many times the voltage in the primary winding is transformed (increased or decreased) to generate the voltage in the secondary winding. The turns ratio plays a crucial role in determining the voltage transformation capability of a transformer.
The turns ratio (N) is calculated using the following formula:
=
primary
secondary
N=
N
secondary
ā
N
primary
ā
ā
Where:
primary
N
primary
ā
is the number of turns in the primary winding.
secondary
N
secondary
ā
is the number of turns in the secondary winding.
For example, if a transformer has 100 turns in the primary winding and 50 turns in the secondary winding, the turns ratio would be
=
100
50
=
2
N=
50
100
ā
=2. This means that the voltage in the secondary winding will be half of the voltage in the primary winding.
The turns ratio is directly related to the voltage ratio of the transformer. If the turns ratio is
N, then the voltage ratio (
secondary
/
primary
V
secondary
ā
/V
primary
ā
) is also
N, assuming ideal conditions (no losses or impedance considerations).
Turns ratio is a fundamental parameter in transformers and is used to determine how the primary and secondary voltages are related, which in turn affects the current transformation, power transformation, and other aspects of the transformer's behavior.
The turns ratio (N) is calculated using the following formula:
=
primary
secondary
N=
N
secondary
ā
N
primary
ā
ā
Where:
primary
N
primary
ā
is the number of turns in the primary winding.
secondary
N
secondary
ā
is the number of turns in the secondary winding.
For example, if a transformer has 100 turns in the primary winding and 50 turns in the secondary winding, the turns ratio would be
=
100
50
=
2
N=
50
100
ā
=2. This means that the voltage in the secondary winding will be half of the voltage in the primary winding.
The turns ratio is directly related to the voltage ratio of the transformer. If the turns ratio is
N, then the voltage ratio (
secondary
/
primary
V
secondary
ā
/V
primary
ā
) is also
N, assuming ideal conditions (no losses or impedance considerations).
Turns ratio is a fundamental parameter in transformers and is used to determine how the primary and secondary voltages are related, which in turn affects the current transformation, power transformation, and other aspects of the transformer's behavior.