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# The transformation ratio of a transformer is 5. If the primary voltage of the transformer is 400 V, 50 Hz, the secondary voltage will beA) 2000V, 250 HzB) 80 V, 50 HzC) 80 V, 10 HzD) 2000 V, 50 Hz

Last updated date: 13th Jun 2024
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Hint The transformation ratio of a transformer gives us information about the ratio of the secondary voltage to the primary voltage. The frequency of the voltage remains unchanged in a transformer.
${\text{Transformation ratio = }}\dfrac{{{\text{secondary voltage}}}}{{{\text{primary voltage}}}}$

We’ve been given that the transformation ratio of a transformer is 5. Using the relation
$\Rightarrow {\text{Transformation ratio = }}\dfrac{{{\text{secondary voltage}}}}{{{\text{primary voltage}}}}$,
we know that the transformation ratio is 5 and the primary voltage is 400 V, so we can write
$\Rightarrow {\text{5 = }}\dfrac{{{\text{secondary voltage}}}}{{400}}$
Multiplying both sides by 400, we get
$\Rightarrow {\text{secondary voltage}} = 2000\,V$
Now on getting transformed only the voltage changes but the frequency of the AC voltage that is being transformed will remain constant i.e. 50 Hz.
So, the secondary voltage will be 2000 V and the frequency will be 50 Hz which corresponds to option (D).