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Transformers

A step-up tra...

Question

A step-up transformer has transformation ratio of $3 : 2$ . What is the voltage in secondary, if voltage in primary is $30 V$ ?

A

45 V

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B

15 V

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C

90 V

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D

300 V

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Solution

The correct option is A $45 V$
Transformation ratio, $k = \frac{N_{s}}{N_{p}}$
Since, $\frac{V_{S}}{V_{P}} = \frac{N_{S}}{N_{P}}$

$⟹ V_{s} = \frac{N_{S}}{N_{P}} \times V_{P}$
$⟹ V_{S} = \frac{3}{2} \times 30 = 45 V$

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