1 Answer
The transformer ratio, also known as the turns ratio, refers to the ratio of the number of turns of wire in the primary coil to the number of turns in the secondary coil of a transformer.
This ratio helps determine how the voltage is transformed between the primary and secondary sides of the transformer. The formula for the transformer ratio is:
\[
\frac{V_{\text{primary}}}{V_{\text{secondary}}} = \frac{N_{\text{primary}}}{N_{\text{secondary}}}
\]
Where:
- \( V_{\text{primary}} \) and \( V_{\text{secondary}} \) are the voltages on the primary and secondary coils, respectively.
- \( N_{\text{primary}} \) and \( N_{\text{secondary}} \) are the number of turns of wire in the primary and secondary coils, respectively.
### Key Points:
- **Step-up Transformer**: If the number of turns in the secondary coil is greater than in the primary coil (\( N_{\text{secondary}} > N_{\text{primary}} \)), the transformer increases (steps up) the voltage.
- **Step-down Transformer**: If the number of turns in the secondary coil is fewer than in the primary coil (\( N_{\text{secondary}} < N_{\text{primary}} \)), the transformer decreases (steps down) the voltage.
This ratio also affects the current. According to the law of conservation of energy, if the voltage is increased (step-up transformer), the current decreases, and if the voltage is decreased (step-down transformer), the current increases.
Would you like to go into how the current is related to the transformer ratio as well?
This ratio helps determine how the voltage is transformed between the primary and secondary sides of the transformer. The formula for the transformer ratio is:
\[
\frac{V_{\text{primary}}}{V_{\text{secondary}}} = \frac{N_{\text{primary}}}{N_{\text{secondary}}}
\]
Where:
- \( V_{\text{primary}} \) and \( V_{\text{secondary}} \) are the voltages on the primary and secondary coils, respectively.
- \( N_{\text{primary}} \) and \( N_{\text{secondary}} \) are the number of turns of wire in the primary and secondary coils, respectively.
### Key Points:
- **Step-up Transformer**: If the number of turns in the secondary coil is greater than in the primary coil (\( N_{\text{secondary}} > N_{\text{primary}} \)), the transformer increases (steps up) the voltage.
- **Step-down Transformer**: If the number of turns in the secondary coil is fewer than in the primary coil (\( N_{\text{secondary}} < N_{\text{primary}} \)), the transformer decreases (steps down) the voltage.
This ratio also affects the current. According to the law of conservation of energy, if the voltage is increased (step-up transformer), the current decreases, and if the voltage is decreased (step-down transformer), the current increases.
Would you like to go into how the current is related to the transformer ratio as well?