Question

In an ideal transformer, which of the following is correct?

• A. \( \left(\frac{\text{V}_1}{\text{V}_2}\right) = \left(\frac{\text{I}_1}{\text{I}_2}\right) = \left(\frac{\text{N}_1}{\text{N}_2}\right) \)
• B. \( \left(\frac{\text{V}_1}{\text{V}_2}\right) = \left(\frac{\text{I}_2}{\text{I}_1}\right) = \left(\frac{\text{N}_2}{\text{N}_1}\right) \)
• C. \( \left(\frac{\text{V}_1}{\text{V}_2}\right) = \left(\frac{\text{I}_2}{\text{I}_1}\right) = \left(\frac{\text{N}_1}{\text{N}_2}\right) \)
• D. \( \left(\frac{\text{V}_2}{\text{V}_1}\right) = \left(\frac{\text{I}_1}{\text{I}_2}\right) = \left(\frac{\text{N}_1}{\text{N}_2}\right) \)

Hint:

In any ideal transformer equation, remember that voltage ($V$) is always directly proportional to the number of turns ($N$), while current ($I$) is always inversely proportional to the turns. Therefore, the indices for $V$ and $N$ will match, while the index for $I$ will be flipped: $$V \propto N \quad \text{and} \quad I \propto \frac{1}{N}$$

Answer 1

The Correct Option is C