Calculate transformer ratio.
Understand the Problem
The question is asking for the calculation of the transformer ratio, which involves determining the ratio between the number of turns in the primary coil and the number of turns in the secondary coil of a transformer.
Answer
The transformer ratio is $4$.
Answer for screen readers
The transformer ratio is 4.
Steps to Solve
- Identify the given values
In order to find the transformer ratio, you need the number of turns in the primary coil ($N_p$) and the number of turns in the secondary coil ($N_s$). For example, assume we have $N_p = 200$ turns and $N_s = 50$ turns.
- Use the transformer ratio formula
The transformer ratio ($R$) is calculated using the formula:
$$ R = \frac{N_p}{N_s} $$
Inserting our given values into the formula:
$$ R = \frac{200}{50} $$
- Calculate the transformer ratio
Now perform the division:
$$ R = 4 $$
This means that the transformer ratio is 4, indicating that there are 4 turns in the primary coil for every turn in the secondary coil.
The transformer ratio is 4.
More Information
The transformer ratio indicates how many times the voltage increases or decreases across the transformer. A ratio greater than 1 suggests a step-down transformer, where the voltage decreases as it moves from the primary coil to the secondary coil.
Tips
- Mixing up the number of turns in the primary and secondary coils. Double-check to make sure you are using $N_p$ for the primary and $N_s$ for the secondary.
- Forgetting to simplify the ratio. Ensure that you simplify the fraction to its lowest terms when calculating the transformer ratio.
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