The transformation ratio of a transformer is the ratio of the number of turns in the primary coil (\(N_1\)) to the number of turns in the secondary coil (\(N_2\)). This ratio is crucial because it determines how the input voltage is transformed into the output voltage. The formula for the transformation ratio is given by:
\[ \text{Transformation Ratio} = \dfrac{N_1}{N_2} \]
Here, \(N_1\) and \(N_2\) represent the number of turns on the primary and secondary coils, respectively. This ratio helps us understand the relationship between the input and output voltages of the transformer. Therefore, the correct option is:
\(\dfrac{N_1}{N_2}\)